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.