Answer:
Option (d) is correct.
An equivalent form of the given compound inequality −22 > −5x − 7 ≥ −3 is −5x − 7 < −22 and −5x − 7 ≤ −3.
Step-by-step explanation:
Given compound inequality , −22 > −5x − 7 ≥ −3
We have to choose an equivalent form of the given compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides : left side and right side we solve them individually.
For given compound inequality, we have
Left side of inequality as −5x − 7 < −22
and right side of inequality as −5x − 7 ≤ −3
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −22 > −5x − 7 ≥ −3 is −5x − 7 < −22 and −5x − 7 ≤ −3.
