Question

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33?

Answer 1

The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

Solving inequalities

From the question, we are to determine the equivalent form of the compound inequality

We will solve the given compound inequality

The given inequality is

−22 > −5x − 7 ≥ −33

We can write that

−22 > −5x − 7 AND −5x − 7 ≥ −33

Solving  −22 > −5x − 7

5x > -7 +22

5x > 15

x > 15/5

x > 3

Also,

Solve −5x − 7 ≥ −33

−5x ≥ −33 +7

-5x ≥ -26

x ≤ -26/-5

x ≤ 5.2

Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2

Learn more on Inequalities here: brainly.com/question/20356565

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