Answer :

avachriss

Answer:

|1/2x - 20| ≥ 2

Step-by-step explanation:

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

isyllus

Answer:

[tex]|20-\dfrac{x}{2}|\geq 2[/tex]

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" [tex]\Rightarrow \dfrac{x}{2}[/tex]

"From 20" [tex]\Rightarrow 20-\dfrac{x}{2}[/tex]

"at least 2" [tex]\Rightarrow \geq2[/tex]

Absolute inequality:

[tex]|20-\dfrac{x}{2}|\geq 2[/tex]

Hence, The absolute value inequality is [tex]|20-\dfrac{x}{2}|\geq 2[/tex]

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