Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11

A. -2 ≤ x ≤ 5

B. x ≤ -2 OR x ≥ 5

C. x ≤ -15 OR x ≥ 12

D. x ≥ 5

Thank you!

Answers

Answer 1

Answer:

B

Step-by-step explanation:

We have the compound inequality:

[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]

Since this is an “OR” inequality, we can solve each inequality individually. So:

1)

We have:

[tex]5x+7\leq-3[/tex]

Subtract 7 from both sides:

[tex]5x\leq -10[/tex]

Divide both sides by 5:

[tex]x\leq-2[/tex]

So, the first solution is above.

2)

We have:

[tex]3x-4\geq 11[/tex]

Add 4 to both sides:

[tex]3x\geq15[/tex]

Divide both side by 3:

[tex]x\geq5[/tex]

Our second solution is above.

Therefore, our solution is:

[tex]x\leq -2 \text{ or } x\geq5[/tex]

Since our original inequality is “OR,” our solution set remains an “OR.”

Hence, our answer is B.


Related Questions

PLEASE HELP ME. due in a few minutes!!

Answers

Answer:

slove is 1

Step-by-step explanation:

if you distribute you get g(x)= x+4

the number invisivble in front of x is 1

simplify
4m+2mn+m^2+m+3m^2

Answers

Answer:

4m^2+ 5m +2mn

Step-by-step explanation:

The simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

The expression given is 4m + 2mn + m² + m + 3m².

We have to simplify the above expression.

What are the variables ?

A variable is a term which represents an unknown number or unknown value or unknown quantity.

As per the question ;

The expression given is 4m + 2mn + m² + m + 3m²

Let's simplify this by adding similar variables ;

4m , m are same variables

i.e., 4m + m = 5m

Similarly ,

m² and 3m² are same variables

i.e., m² + 3m² = 4m²

So ,

The value after simplification will be ;

4m + 2mn + m² + m + 3m²

= 4m²+ 5m + 2mn

Thus , simplified value of 4m + 2mn + m² + m + 3m² is equal to 4m²+ 5m + 2mn.

To learn more about variables click here ;

https://brainly.com/question/22965573

#SPJ2

1 - 0.27
6
can you subtract this

Answers

Answer:

yes the answer would be 0.724

the equation y=7× represents a proportional relationship. What is the constant of proportionality​

Answers

The answer is the number 7

6. When rounded to the nearest hundredth, log, 7 =1.77. Which of the following represents the value of
log, 63 to the nearest hundredth? Hint: write 63 as a product involving 7.

Answers

Note: Consider the base of all is 3 instead of comma.

Given:

Consider the given value is [tex]\log_37=1.77[/tex].

To find:

The value of [tex]\log_363[/tex].

Solution:

Using properties of logarithm, we get

[tex]\log_363=\log_3(9\times 7)[/tex]

[tex]\log_363=\log_3(3^2\times 7)[/tex]

[tex]\log_363=\log_3(3^2)+\log_3(7)[/tex]       [tex][\because \log ab=\log a+\log b][/tex]

[tex]\log_363=2+ \log_3(7)[/tex]    [tex][\because \log_aa^x=x][/tex]

[tex]\log_363=2+1.77[/tex]        [tex][\because \log_37=1.77][/tex]

[tex]\log_363=3.77[/tex]

Therefore, the value of [tex]\log_363[/tex] is 3.77.

Applying logarithm properties, it is found that:

[tex]\log_3{63} = 3.77[/tex]

We want to find [tex]\log_3{63}[/tex], considering that [tex]63 = 7 \times 9 = 7 \times 3^2[/tex], we have that:

[tex]\log_3{63} = \log_3{(7 \times 3^2)}[/tex]

The first property applied is:

[tex]\log{a \times b} = \log{a} + \log{b}[/tex]

Hence:

[tex]\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}[/tex]

The next property is:

[tex]\log_a{a^b} = b[/tex]

Hence:

[tex]\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77[/tex]

A similar problem is given at https://brainly.com/question/2620660

Can someone help me with this

Answers

Answer:

For the first one it is 6 and the second is 53 degrees

Step-by-step explanation:

Just look at what the given values are and go from there

Question 5
Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in
decimal form.

Answers

Answer:

The COP is 0.5

Step-by-step explanation:

First we must find the slopes.

12.50/25 = 0.5

17.50/35 = 0.5

The COP is 0.5

Select the graph of g(x) = |-2х + 6|
can someone tell me if this is right

Answers

Answer:

no

Step-by-step explanation:

the graph should be facing up.

It is a also hi I am lulu

Last one plsssssssssss help

Answers

Add 5 to both sides and then multiply by 21 to eliminate fraction

Find the equation of the linear function represented by the table below in slope-intercept form. x y -1 3 1 1 3 -1 5 -3

Answers

Answer:

y = - x + 2

Step-by-step explanation:

Points given:

(-1, 3), (1, 1), (3, -1), (5, -3)

Slope-intercept form:

y = mx + b

Finding the slope using slope formula and the first two points:

m = (1 - 3)/(1 - (-1)) = -2 / 2 = -1

Finding y-intercept using the slope and the first point:

3 = (-1)*(-1) + b3 = 1 + bb = 3 - 1b = 2

So the equation is:

y = - x + 2

round 6.24159 to the nearest hundredths

Answers

Answer:

6.24

you look at the number behind the hundredth place which is 1

PLEASE ANSWER THESE 2 QUESTIONS!!!!!! THIS IS A MAJOR GRADE!!!!!!!!!!!!!!!!!

Answers

Answer:

I cant see the problems

Step-by-step explanation:

-16 384, 4096 -1024, 256, -64​

Answers

Answer:

320

Step-by-step explanation:

i hop it work

The garden itself is 5 yards by 8 yards. The total area need to build this landscape
design is 60.9525 square yards. What is the width of the walkway?
O a) 0.725 yards
b) 2.9 yards
C) 1.45 yards
d) 4.58 yards

Answers

Answer: 1.45

Step-by-step explanation:

Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.

I need an inequality written for what is written above please!!!

Answers

Answer:

i think it is this:

tank a: 6 hours?

tank b: 7 hours?

Step-by-step explanation:

sorry if im wrong if you can please give me brainliest<3 have a good day

PLEASE HELP !! 10 POINTS AND BRAINLIEST !!!:)

Answers

Infinite lines of symmetry because you can make any cut on the circle and it would en symmetric with the captain America shield

Will mark brainliest - GEOMETRY, show work plz

Answers

Answer:

1. Slope is 3/2

2. Slope is -2/3

3. Slope is 3/2

Step-by-step explanation:

Plz mark as Brainliest!

Answer:

Step-by-step explanation:

(-8-4)/(5+3)= -12/8= -3/2

perp. 2/3

y - 4 = 2/3(x + 3)

y - 4 = 2/3x + 2

y = 2/3x + 6

y - 4 = -3/2(x + 3)

y - 8/2 = -3/2x - 9/2

y = -3/2x - 1/2

Y=??? Answer pls I will try to answer one of urs if u do

Answers

Answer:

y=85

Step-by-step explanation:

diffrentiate between save and save as​

Answers

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

13 points answer this asappppp

Find the value of the function below for the given x-value

F{x} = -5x-1 when x=-3

A.15
B 14
C-16
D-14

Answers

The answer is B.14 when you replace the x with -3

A 5-foot piece of aluminium wire costs $21.00. What is the price per inch?

Answers

The answer would be .35 cent.

Answer:

The price per inch is $0.35

Step-by-step explanation:

First you have to convert 5 feet into inches.

5·12= 60.

Then, divide the 21 by 60.

21/60 = 0.35

In conclusion, it costs $0.35 per inch.

Troy is chasing his little brother Kyle, but Kyle got a 30 second head start. If Kyle is traveling at 2 feet per second on his tri cycle and Troy is traveling at 5 feet per second on his skateboard, how many seconds will it be before Troy catches Kyle?

Answers

Answer:

20!

Step-by-step explanation:

when you add how far kyle's already traveled you get sixty, the rest of the tt lecture explains the rest, leaving you with 20 seconds

Insert a rational number between 1/2 and 1/3 by mean method?​

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

To find a rational number by the mean method.

Add the 2 fractions and divide the result by 2

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]

To add the fractions we require them to have a common denominator.

The LCM of 2 and 3 is 6 ← required common denominator

Multiply numerator/denominator of first fraction by 3

Multiply numerator/denominator of second fraction by 2

= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]

= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )

= [tex]\frac{5}{6}[/tex]

Now divide by 2

[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )

= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]

= [tex]\frac{5}{12}[/tex]

This is the fraction midway between the 2 given fractions

Carrie and Alex are playing hiding and seek

Answers

Answer:

Ok.

Step-by-step explanation:

What is your question?

Answer: YESS

Step-by-step explanation:

I love hide and seek

Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach

Answers

9514 1404 393

Answer:

  45 meters

Step-by-step explanation:

The equation is given in vertex form:

  h(t) = a(t -b)^2 +c

where (b, c) is the vertex (maximum).

The values of the parameters are ...

  a = -5, b = 3, c = 45

Then the maximum height is (time, height) = (3, 45).

The maximum height of the ball is 45 meters.

Simplify 3 x + 6 x 2 - 5 x - x 2 .

A 5 x 2 - 2 x
B 6 x 2 + 2 x
C 5 x 2 + 2 x
D 6 x 2 - 2 x

Answers

pretty sure it’s 5x^2 - 2x

4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?​

Answers

Answer:

c

Step-by-step explanation:

What is the solution to the linear equation? 2/5+p=4/5+3/5p
p=1
p=2
p=8
p=10​

Answers

Answer:

p = 1

Step-by-step explanation:

Multiply both sides of the equation by 5

2 + 5p = 3 + 3p

reraange for p

p = 1

Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.

Answers

Answer:

p÷3=h

My logic:

if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.

Hope this helped!

Sea ice is frozen ocean water, which freezes at a temperture of about -1.8 degress celsius. What is the temperture in fahrenheit use the formula F=(c) (9/5)+32

Answers

Answer:

28.76 °F

Step-by-step explanation:

The temperture of sea ice frozen ocean water is about -1.8 °C .

We are to convert to a temperture in fahrenheit using the formula F=(c) (9/5)+32

°C = -1.8°C

°F=(c) (9/5)+32

= [(-1.8°C × 9/5) + 32]°F

= [-16.2/5 + 32]°F

= [-3.24 + 32]°F

= 28.76°F

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