Question

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

{–7, 5, 18, 24, 32}
{–9, 7, 15, 22, 26}
{16, 17, 22, 23, 24}
{18, 19, 20, 21, 22}

Answer 1

Your solutions can only be 18 and smaller and then greater than 22
18 is included because the point there is closed
22 is not included because the point there is open
Therefore, therefore, the first set {-7, 5, 18, 24, 32}

Answer 2

The answer is the option
`{-7, 5, 18, 24, 32}`

Explanation:

we know that

the solution of the compound inequality is

(-∞,18] ∪ (22,∞)

Let's verify all the cases to determine the solution to the problem.

case A) we have

`{-7, 5, 18, 24, 32}`

The set of numbers is included in the solution set of the compound inequality

case B) we have

`{-9, 7, 15, 22, 26}`

The number
`22` is not included in the solution set of the compound inequality

case C) we have

`{16, 17, 22, 23, 24}`

The number
`22` is not included in the solution set of the compound inequality

case D) we have

`{18, 19, 20, 21, 22}`

The numbers
`{19, 20, 21, 22}` are not included in the solution set of the compound inequality