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"-12<-3x-15" less than or equal to 36

1 Answer

3 votes

Answer:

-17 ≤ x < 1

Explanation:

-12 < -3x - 15 ≤ 36

Add 15 to all 3 "sides."

-12 + 15 < -3x - 15 + 15 ≤ 36 + 15

3 < -3x ≤ 51

Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.

3/(-3) > -3x/(-3) ≥ 51/(-3)

-1 > x ≥ -17

Rewrite in standard order.

-17 ≤ x < 1

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