Solve (x + 1 < 5) ∩ (x - 4 > -3).

{ x | x < 4 or x > 1}
{ x | 1 < x < 4}
{all real numbers}

Answers

Answer 1

Answer:

{all real numbers}

Step-by-step explanation:

Solve (x + 1 < 5) ∩ (x - 4 > -3).

For the expression

x + 1 < 5

Subtract 1 from both sides

x+1-1 < 5-1

x < 4

For the inequality

x - 4 > -3

Add 4 to both sodes

x-4+4 > -3 + 4

x > -1

Hence the intersection of both is on all real numbers since the value of x is greater than -1.


Related Questions

Mary has $32 to buy food and play games at the county fair. Suppose the food cost $8.00. Write and solve an inequality to find the most he can spend on games.

Answers

Answer:

$24 > $8

Step-by-step explanation:

Well if Mary has $32 and the food estimate costs $8 then the inequality would be written as $24 > $8.  So Mary would have 24 dollars to play games.

I am a 96.7 percent sure this is correct :D Hope i could help <3

$24 dollars because your subtracting and it tells you that because it says most he can spend on games

Sophie want to buy a skateboard that has a price tag of $125.00. What was the wholesale cost of the skateboard?

2) If the skateboard is discounted by 20%, how much will Sophie pay (before tax)?

Answers

The answer is $100 dollars

how do you simplify an expression like -3x + 15 - 8x? do you combine like terms and if so, how?​

Answers

Answer:

so, with terms like -3x and -8x remember to keep the negative or positive sign the same when combining like terms.

in this instance the simplified expression would be:

15 - 11x

because -3x - 8x = -11x

does this make sense? lmk if u need help

Find the measure of the angle indicated in bold

Answers

Answer:

d

Step-by-step explanation:

Need help (Show Work)

Answers

Answer:

the first one is 192 and the second is 396 the third is 216 the fourth is soapy suds

Step-by-step explanation:

the first you just do 4x6x8

the second you just do 9x8x11 and then divide by 2

the third you just multiply 9x6x4 or you could do 3x4x9 and multiply that by 2

the fourth is soapy suds bc it has a larger volume of 1248 while clean and bright only has a volume of 936

Select True or False for each statement. 1 4 9 + 7 6 9 is equal to 8 1 9 . 5 5 6 + 3 3 6 is equal to 8 2 6 . 4 5 8 − 2 4 8 is equal to 2 3 8 . 6 5 8 − 2 2 8 is equal to 4 3 8 .

Answers

Answer:

(1) False

(2) False

(3). False

(4) False

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

(1). Given,  149 + 769 = 819

By calculating 149 + 769 = 918  

Hence, False

(2). Given,  556 + 336 = 826

By calculating 556 + 336 = 892  

Hence, False

(3). Given,  458 - 248 = 238

By calculating 458 - 248 = 210  

Hence, False

(4). Given,  658 - 228 = 438

By calculating 658 - 228 = 430  

Hence, False

What is the coefficient of 20x?
A. 20x
B. x
C. 20
D. multiplication

Answers

Answer:

C

Step-by-step explanation:

Coefficient- the number part of a term that includes a variable (JUST THE # NEXT TO THE LETTERS)

EX:  "4r + 8r"  4 and 8 would be the coefficients

Answer:

C. 20

Step-by-step explanation:

The coefficient is always the number attached to the variable

find the value of x in given expression

[tex] {x}^{2} = 32 {}^{2} [/tex]

Answers

I need more info on this so it might be 32 times 32 and that will give you the answer to S

Answer and Step-by-step explanation:

To find the value of x, square root both sides of the equation.

Then, we get x to be 32.

#teamtrees #PAW (Plant And Water)

Can you identify what the polynomial is?

Answers

Answer:

are you sure its a polynomial

Step-by-step explanation:

A polynomial is a combination of terms separated by

+

or

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

Ms.Obrieen has to get 6 bottles of shampoo for childcare center each shampoo bottle costs $5.50 but if you get 2 get one free How much will she spend?

Answers

Answer:

$22

Step-by-step explanation:

The computation of the amount spent is shown below:

Since in the question it is mentioned that if you bought 2 than you got one bottle free

And, each bottle cost is $5.50

Now if you want 6 bottles so you have to spend tour 4 bottles to avail the offer

= 4 × $5.50

= $22

What best describes the value of (x - 5)(x - 10) when x = 10?
O Positive
O Negative
O Zero

Answers

it is most likely positive.

The schedule for a music showcase includes 3 sets that are 20 minutes each and 1 set that is 40 minutes. There is a 10-minute break between each set. The total length of the music showcase is 3(20 + 10) + 40 minutes. What is the total length of the music showcase?The answers are,A. 73 minutes,B. 110 minutes,C. 130 minutes,and D. 210 minutes,What is the answer?

Answers

Answer:

c.130

Step-by-step explanation: so first you would plus 20 and 10 and that equals 30 then you would multiply 3 times 30 and that equaled 90 now you have 90+40 which equals 130.

I need to know what the variable is and please give me the equation.
THIS IS TIMED AND I NEED IT FAST I ONLY HAVE A FEW MINUTES!!!

Answers

Answer:

$9.50 = .25x

Step-by-step explanation:

38 quarters

Which shows the GCF of 18 and 24 with
18
24
in simplest form?

Answers

Answer:

6 is the greatest common factor between the two

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

18 = 2 * 3 * 3

24 = 2 * 2 * 2 * 3

Picking out the common factors ( in bold):

GCF = 2 * 3 = 6.

PLS HURRY Point S is translated 5 units to the left and 12 units up to create point S'. Find the distance between point S and point S' ??

Answers

Given:

Point S is translated 5 units to the left and 12 units up to create point S'.

To find:

The distance between the points S and S'.

Solution:

Point S is translated 5 units to the left and 12 units up to create point S'.

The diagram for the given problem is shown below.

From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.

By Pythagoras theorem,

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]SS'^2=(12)^2+(5)^2[/tex]

[tex]SS'^2=144+25[/tex]

[tex]SS'^2=169[/tex]

Taking square root on both sides.

[tex]SS'=\sqrt{169}[/tex]

[tex]SS'=13[/tex]

Therefore, the distance between S and S' is 13 units.

It says that you have to fill in all angle measures that are numbered / will give brainlist

Answers

Answer:

<1 = 107

<2 = 73

Step-by-step explanation:

<1 = 107 because of the corresponding angles thm

<2 + 107 = 180

<2 = 73

In AXYZ, X = 7.7 inches, y = 4.2 inches and z=7.3 inches. Find the measure of Y to
the nearest degree.

Answers

Answer:

32.38°

Step-by-step explanation:

In AXYZ, X = 7.7 inches, y = 4.2 inches and z=7.3 inches. Find the measure of Y to

the nearest degree.

We solve using Cosine rule

Y = arc cos( x² + z² - y²/2xz)

x = 7.7 inches

z = 7.3 inches

y = 4.2 inches

Y = arc cos( 7.7² + 7.3² - 4.2²/2 × 7.7 × 7.3)

Y = 32.38°

Need help checking my answers thanks!!

Answers

Answer:

yep thats right i think sorry hop i could help

Find the Scale factor of Figure A to Figure B

Answers

I hope this makes sense and helps :)

Please please help!!

Answers

Answer:

Step-by-step explanation:

Help with this math problem

Answers

(x-2)(x^2+2x+4) this is the answer. The third option.

Answer:

Option 3

Step-by-step explanation: x

3−8 is the difference of two cubes and can be factored in the following pattern.

a3−b3=(a−b)(a2+ab+b2) a3 factors to ab3 factors to be

The pattern of the signs follows the acronym SOAP

S = same sign as the cubes

O = opposite sins of the cubes

AP = always positive x3 factors to x8 factors to 2x3−8=(x−2) (x2+4x+4).

Please help .
34 16
3
14
9
C
-2 1/2
O 7
7-1/2

Answers

.................answer : -2

If 2 gallons of chocolate milk cost $3.80 how much would 7 gallons of chocolate milk cost c ?

Answers

Answer:

$13.30

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

Write each polynomial in standard form. Identify the leading coefficient.


4x + 2x5 – 6x3 + 2

Answers

Given:

The polynomial is

[tex]4x+2x^5-6x^3+2[/tex]

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

[tex]p(x)=4x+2x^5-6x^3+2[/tex]

The standard form of the polynomial is

[tex]p(x)=2x^5-6x^3+4x+2[/tex]

The highest power of x is 5 and 2 is before [tex]x^5[/tex]. The leading coefficient is 2.

Therefore, the standard form of the polynomial is [tex]2x^5-6x^3+4x+2[/tex] and the leading coefficient is 2.

Hi! I know this is not the correct way to ask a question, but may someone explain how to do the Division Property of Equality and the Multiplication Property of Equality? ​

Answers

Answer:

Step-by-step explanation:

So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example

12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3

We use this to solve for variable such as x

So new example lets take

5x=25

Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is

x equals 5 or x=5.

If I plug my x=5 back into the equation they should be equal so lets see...

5(5)=25

25=25

And it checks out :)

Jenny has $25
and she earns $10 for each lawn that she
mows. Jenny wants to buy a concert ticket that costs $65.
Enter the minimum number of lawns Jenny needs to mow to
be able to buy the concert ticket.

Answers

Answer:

atleast 4 lawns

Step-by-step explanation:

Answer:

At least 4 lawns because 25+40=65

Step-by-step explanation:

Complete the Area Model by dragging responses to the correct location.

Answers

Area model of the question can be modeled by the picture attached.

Area model for multiplication:    Area model for the multiplication is given by the area of the rectangle,

            Area = Length × Width

Following the area model, we will find the area of each rectangle given in the picture,

Area of blue rectangle = [tex]x\times x[/tex]

                                      = [tex]x^2[/tex]

Area of the orange rectangle = [tex]4\times x[/tex]

                                                 = [tex]4x[/tex]

Area of the yellow rectangle = [tex]x\times 2[/tex]

                                                = [tex]2x[/tex]

Area of the green rectangle = [tex]4\times 2[/tex]

                                               = [tex]8[/tex]

          Therefore, area model for the given question can be modeled by the picture attached.

Learn more about the area model here,

https://brainly.com/question/15798137?referrer=searchResults

Trigonometry please help me solve this...

Answers

Answer:

A. 3/5

Step-by-step explanation:

Cosine=Adjacent/Hypotenuse

18/30 simplifies to 3/5

Solve the quadratic equation, using the factoring method.
[tex]4x^2-8x-4=8[/tex]

Answers

Answer: 4(x-3)(x+1)

4x^2-8x-12=0
4x^2+4x-12x-12
4x(x+1) -12(x+1)
(4x-12)(x+1)
4(x-3)(x+1)

Each day last week, Miss Wilson walked 3/4 mile. What is the total distance, in miles, that Miss Wilson walked in 4 days.​

Answers

Answer: 12/4 or 3 miles

Step-by-step explanation:

 

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