Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?

Asked by maham237 @ in Mathematics viewed by 330 People

A) −5x − 7 < −22 and −5x − 7 ≥ −3
B) −5x − 7 > −22 and −5x − 7 ≥ −3
C) −5x > −22 and −7 ≥ −3
D) −5x − 7 < −22 and −5x − 7 ≤ −3

Answered by maham237 @


A) −5x − 7 < −22 and −5x − 7 ≥ −3

Working;
Since the −5x − 7 and −22 have interchanged sides, the inequality sign also changes direction.

For part two, −5x − 7 ≥ −3 remains unchanged.

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