Question

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

Answer 1

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

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

Answer 2

Answer:

$|20-\dfrac{x}{2}|\geq 2$

Step-by-step explanation:

Half a number is at least 2 units from 20.

Let number be x

Write phrase as inequality.

"Half a number" $\Rightarrow \dfrac{x}{2}$

"From 20" $\Rightarrow 20-\dfrac{x}{2}$

"at least 2" $\Rightarrow \geq2$

Absolute inequality:

$|20-\dfrac{x}{2}|\geq 2$

Hence, The absolute value inequality is $|20-\dfrac{x}{2}|\geq 2$