Question

For each value of x, determine whether it is a solution to 8-5x>-27.

X
10
-10
7
X
Is it a solution?
Yes
O
No
O
Ś
OO
O

Answer 1

Answers:

10 .... no

-10 ... yes

7 ..... no

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Step-by-step explanation:

Here's one way to solve for x.

8-5x>-27

-5x>-27-8

-5x > -35

x < -35/(-5) ..... inequality sign flips

x < 7

The inequality sign flips whenever we divide both sides by a negative number.

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Here's another way to solve for x.

8-5x>-27

8 > -27+5x

8 > 5x-27

5x-27 < 8 .... swapping both sides flips the inequality sign

5x < 8+27

5x < 35

x < 35/5 .... inequality sign does not flip here

x < 7

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Whichever method you prefer, you should end up with x < 7.

The solution consists of values smaller than 7.

Of the answer choices {10, -10, 7}, only -10 fits the description of "smaller than 7". Therefore, -10 is the only solution of the answer choices.