Question

Half a number is at least 2 units from 20. write the sentence as an absolute value inequality

Answer 1

|1/2x - 20| ≥ 2

Explanation:

The number is half of two and at least two units away.

Answer 2

`|20-(x)/(2)|\geq 2`

Explanation:

Half a number is at least 2 units from 20.

Let number be x

Write phrase as inequality.

"Half a number"
`\Rightarrow (x)/(2)`

"From 20"
`\Rightarrow 20-(x)/(2)`

"at least 2"
`\Rightarrow \geq2`

Absolute inequality:

`|20-(x)/(2)|\geq 2`

Hence, The absolute value inequality is
`|20-(x)/(2)|\geq 2`