Question

PPPPLLLZZZZZ HURRY .Which of the answer choices below has the same solution set as the inequality y minus
8 less-than-or-equal-to negative 2?

- y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
- y minus 8 + 8 less-than negative 2 + 8
- y minus 8 + 2 less-than-or-equal-to negative 2 + 8
- y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Answer 1

Answer:

  (d)  y minus 8 + 2 less-than-or-equal-to negative 2 + 2

Step-by-step explanation:

You want to know which inequality has the same solution set as ...

  y minus 8 less-than-or-equal-to negative 2

Addition property

The addition property of (in)equality says the solution set is unchanged if the same quantity is added to both sides of the inequality. That is the case for ...

  y minus 8 + 2 less-than-or-equal-to negative 2 + 2 . . . choice D

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Additional comment

This answer choice (D) shows 2 being added to both sides of the inequality.

In choice A, 8 is added to both sides, but the relation is reversed.

In choice B, the relation is changed to "less than".

In choice C, 2 is added on the left, and 8 is added on the right. This changes the solution set.