Solve 2x < 10. Explain how to find the solution set.

Answers

Answer 1

Answer:

x < 5

Step-by-step explanation:

2x < 10

x < 5

I hope this helped!

Answer 2

Required solution set is x < 5.

What is inequality?

In mathematics, an inequality is a relationship that compares two numbers or other mathematical expressions unequally.[1] It is most often used to compare two numbers by their size. Several different notations are used to denote different types of inequality:

The notation a < b means that a is less than b.

Notation a > b means that a is greater than b.

In both cases, a is not equal to b. These relationships are known as strict inequalities,meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.

Unlike strict inequalities, there are two types of inequalities that are not strict:

The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently at most b or not greater than b).

The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least b or not less than b).

A ratio that is not greater than can also be represented as a ≯ b, with the "greater than" symbol separated by a slash "not". The same is also true for no less than and a ≮ b.

The notation a ≠ b means that a is not equal to b; this difference is sometimes considered a form of strict inequality.It does not say that one is greater than the other; it does not even require that a and b be members of an ordered set.

Here given,[tex]2x < 10[/tex]

We want to find solution set of 2x < 10

Now,2x < 10

First we are dividing both side by 2 and get,

[tex] \frac{2x}{2} < \frac{10}{2} \\ x < 5[/tex]

Therefore,required solution is x < 5.

Inequalities related one more question:

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Related Questions

What is the difference between a frown and a smile? Describe what a relaxed face looks like

Answers

Answer:

Both are facial expressions bu a frown is with the eyebrows together and forehead wrinkles and usually the person is wooried or sad and a smile is formed primarily by flexing the muscles at the sides of the mouth.

Step-by-step explanation:

What is the reciprocal of 6 1/5

Answers

Answer:

0.16129032258   or maybe just 0.161

Step-by-step explanation:

Find the slope of the line that passes through:
(-4,7) and (-6, -4)

Answers

Answer:

[tex]\frac{11}{2}[/tex] or 5.5

Step-by-step explanation:

In order to find the slope of a line using two points on a graph, you must use

[tex]y_2-y_1/x_2-x_1[/tex]

Pluging in the points (-4,7) and (-6, -4) to the formula you will get:

[tex]\frac{-4-7}{-6+4} =\frac{-11}{-2} =5.5[/tex]

The equation for the line would be [tex]\frac{11}{2}[/tex]x+29

HELP ME WITH QUESTION 8 EASY 10 POINTS

Answers

Answer: 9

Step-by-step explanation:

which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers

Answers

Answer: 21

Step-by-step explanation: I got it right

Find the missing terms: 19, _, _, _, -13

Answers

Answer:

-5,3,11

Plus 8 or subtract 8

Step-by-step explanation:

-13 + 8= -5

-5+8= 3

3+8=11

11+8=19

or

19-8=11

11-8=3

3-8=-5

-5-8= -13

Hope that helps :)

Find the value of x.

Answers

Answer:

x=55

Step-by-step explanation:

you have to add the three angles to get 180 first. 180- 21-34=125.

then take the missing angle inside the triangle (125) and subtract by 180.

180-125=55

Answer:

x = 55

Step-by-step explanation:

We know that triangles add up to 180 degrees, so let's start with that. Keep in mind that "y" will be the third degree of the triangle.

21+34+y = 180

55+y = 180

y = 125

Okay, now we know that the third degree is 125. Also, the line that 125 and x are on is a straight line. All straight lines are 180 degrees. Subtract 180 and 125 to get your answer.

180-125 = 55

So your final answer will be x=55, hope this helped!

-1 TIMES the ABSOLUTE VALUE of -24 =
will give brainliest !!!!!

Answers

Answer:

-24

Step-by-step explanation:

absolute value of -24 would make it +24

-1 times 24 is -24

Answer: -24

Step-by-step explanation:

The absolute value of a number is how far away the said number is from zero, so -24's would be 24.

24 x -1 = -24

Lucy and Cody were playing a board game. They rolled a die 142 times. An even number was rolled 56 times. A one was rolled 21 times. A three was rolled 34 times. How many times was a five rolled? Select the correct equation to solve. A. 142 - 56 - 21 + 34 = t B. 142 - 56 - 21 - 34 = t C. 142 + (56 - 21) + 34 = t Solution:

Answers

Answer:

[tex]Five = 31[/tex]

Step-by-step explanation:

Given

[tex]Total = 142[/tex]

[tex]Even = 56[/tex]

[tex]One = 21[/tex]

[tex]Three = 34[/tex]

Required:

Number of times 5 were rolled

Even represents 2, 4 and 6.

So, we have:

[tex]Total = Even + One + Three + Five[/tex]

[tex]142 = 56 + 21 + 34 + Five[/tex]

[tex]142 = 111 + Five[/tex]

Collect Like Terms

[tex]Five = 142 - 111[/tex]

[tex]Five = 31[/tex]

a- b for
for a= (-7) and b = 30

Answers

Answer:

-37

Step-by-step explanation:

-7-30

=-37

You are adding the negatives therefore, you will get a larger number of negatives.

Answer = -37

you would have to plug the numbers given.

“A” would now be (-7) “B” would now be (30) = (-7)-30 = -37

reason it equals a negative is because a positive & a negative = a negative

The tables show the statistics of a running back in a football game did he gain more than 50 yards total? Explain .

Answers

Answer:

He gained more than 50 yards in the game.

Step-by-step explanation:

Running back in the first quarter in a football game = -8.5 yards

Running back in second quarter = 23 yards

Running back in 3rd quarter = 42.5 yards

Running back in 4th quarter = -2.25 yards

Total gain in the game = -8.5 + 23 + 42.5 - 2.25 = 54.75 yards

That means he gained more than 50 yards in the game.

Please help, which expression is equivalent to....

Answers

Answer:

a

Step-by-step explanation:

Prime numbers have ________.

Composite numbers have ________.

The number 1 is ________.

Answers

Answer:

1:eaxctly two factors  2:more than two factors  3:neither prime nor composite

Step-by-step explanation:

I GOT IT RIGHT!

Answer:

Answer time!!

1. exactly 2 factors

2. more than 2 factors

3. niether prime nor compisite

fat help me fast help

Answers

false because the mountain was created with the North not the South plate.

A radio station sells buttons and bumper stickers at a local fair the buttons cost $2.95 each and the bumper stickers cost three dollars and 50 Cent each new radio station sells the most for $162 worth of buttons and bumper stickers if it’s represents the number of buttons and white represents the number of button bumper stickers which equality represents the scenario

Answers

Answer:more information plssss

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish.

Answers

Answer:

The tanks by volume per fish from least to greatest:

Tank C, Tank A, Tank B

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish.

Order the tanks by volume per fish from least to greatest.

Tank A holds 40 L and 5 fish.

= 40L/5 fishes

= 8 volume per fish

Tank B holds 100 L and 12 fish

= 100L/12 fishes

= 8.3333333333 volume per fish

Tank C holds 180 L and 23 fish.

= 180L /23 fish

= 7.8260869565 volume per fish

The tanks by volume per fish from least to greatest

Tank C, Tank A, Tank B

Image included this problem requires no work pls help 20 POINTS

Answers

Answer:

The slope is 2 and the y-intercept is -2. a)

Step-by-step explanation:

Hope this helps!!!!!

Help! I already tried -6.6/20

Answers

Answer: 0.33 or 1.32 or 6.6%

Step-by-step explanation:

perform the operation (9x^2+7x-6)-(3x^2-8x+7)

Answers

Answer:

6x^2 + 15x - 13

Step-by-step explanation:

Combine Like Terms

9x^2 - 3x^2 = 6x^2

7x - (-8x) = 15x

-6 - 7 = 13

Write Equation

6x^2 + 15x - 13

WHO CAN HELP ME ITS DUE IN 5 minutes!

A line passes through the point (-10, 2) and has a slope of 1/2
Write an equation in slope-intercept form for this line.

Answers

We have to find b first: 3 = -3/2(10)+b3 = -15+b18 = bNow right the equation, your slope will be the same one....Y = -3/2x + 18

More

What is the slope of the line that passes through the points (3, 5) and (8, 3)?​

Answers

Answer:

[tex]- \frac{2 }{3} [/tex]

Step-by-step explanation:

[tex]the \: slope : m = \frac{3 - 5}{8 - 3} = \frac{ - 2}{ + 5} = - \frac{2 }{3} [/tex]

♨Rage♨

WILL GIVE BRAINLIEST!!!!!!!!
Use 2 to 3 sentences to name the two pairs of alternate interior angles and explain the difference between alternate interior and alternate exterior angles.

Answers

Answer:

2 and 7 are alternate interior, along with 5 and 4. They are inside the space created by the parallel lines. 1 and 8 are alternate exterior, along with 6 and 3. They are outside the space created by the parallel lines.

Difference:

Alternate exterior angles are created in the space outside the parallel lines on alternating sides; interior angles are created in the space inside the parallel lines.

I hope this helped, please mark Brainliest, thank you!

solve b
3b / 7-1 = 5

Answers

Answer:

b= 2 over 7

Step-by-step explanation:

exact form b= 2 over 7

decimal form b= 0.285714

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.

A 2-column table with 9 rows. Column 1 is labeled number of free throws made with entries 0, 1, 2, 3, 4, 5, 6, 7, 8. Column 2 is labeled Probability with entries 0.002, 0.008, 0.04, 0.12, 0.23, 0.28, 0.21, 0.09, 0.02.

What is the standard deviation of the distribution?

1.18
1.40
1.96
2.58

Answers

Answer:

its b

Step-by-step explanation:

just took the quiz

Answer:

standard deviation of the distribution is 1.40

Step-by-step explanation:

WILL MARK BRAINLIEST. Find my mistake and explain how you would fix it. I’ve included step numbers so you can describe where the step is in the solution path.

Answers

Answer:

2 errors in step 3 -15 + 7 = -8 not +22

also a negative devided by a postive is a negative (the x on the last step)

Step-by-step explanation:

I am thinking of a positive integer that is 3 less than 3 times another number. The product of my number and the other number is 90.
a. Write an equation to represent this situation.
b. What is my number?

Answers

Answer:

your numnber is 15

Step-by-step explanation:

3x-3=n

nx=90

nx=90

(3x-3)x=90

3x^2-3x=90

x=6

3x-3=n

3(6)-3=n

18-3=n

15=n

HELP ME ASAP PLEASE AHHHH

Answers

Answer:

A

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...

Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...

A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].

Therefore the answer is -7.5.

(b) Factorise fully.
10x²+6x

Answers

Answer:

2x(5x + 3)

Step-by-step explanation:

Factor out common factors. Note that both terms have x inside it. Therefore, you will factor out one x from each term.

Note the factors of both 10 & 6:

10: 1 , 2 , 5, 10

6: 1 , 2 , 3, 6

Note that the greatest factor shared is 2. Divide 2 and x out from both terms:

(10x² + 6x)/2x = 5x + 3

2x(5x + 3) is your answer.

~

15 - 5k ≥ 0
solve the inequality

Answers

Start by adding 15 to both sides
15 + 15 will cancel out
15 + 0 = 15
After you are left with just 5k and 15
Divided 5 on both sides of the inequality
5k/5 ( this will cancel out)
15/5 = 3
Bring down the k & inequality sign

Final Answer :

The solution is, the value of the inequality is, 3  ≥ k.

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

15 - 5k ≥ 0

now, we get,

Start by adding 15 to both sides

15 + 15 will cancel out

15 + 0 = 15

After you are left with just 5k and 15

Divided 5 on both sides of the inequality

5k/5 ( this will cancel out)

15/5 = 3

Bring down the k & inequality sign

3 - k  ≥ 0

adding k on both side,

3  ≥ k

Final Answer : 3  ≥ k

To learn more on inequality click:

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Find three consecutive even integers such that the sum of twice the smallest and 4 times the largest is 304.

Answers

Answer:

gdgdgdgdgddggddggdgddggd

Step-by-step explanation:

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