Question

Which set of numbers is included in the solution set of the compound inequality?

Answer 1

The set of numbers is included in the solution set of the compound inequality is {-7, 5, 18, 24, 32}

Number line and inequalities

Inequalities are expressions not separated by an equal sign.

From the given number line, the equivalent inequality expression are

x > 22 (22 s excluded since it is an open circle) and x≤ 18 (18 is included since the circle is shaded)

Hence the set of numbers is included in the solution set of the compound inequality is {-7, 5, 18, 24, 32}

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Answer 2

The set of numbers that is been  included in the solution set of the compound inequality is ${-7, 5, 18, 24, 32}$

What is  inequalities and set of numbers?

The inequality can be referred to as the relationship between two values which are not equal and cannot be separated by an equal sign.

From the open circle, Checking the number set, $x > 22$,  22 cannot be involved, from the shaded circle, x≤ 18 , 18 can be included.

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