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A number x is no more than 4 units away from 2. Write and solve an absolute-value inequality to show the range of possible values of x.

Respuesta :

Answer:

|x − 2| ≤ 4

−2 ≤ x ≤ 6

Step-by-step explanation: A number x is no more than 4 units away from 2.

|x − 2| ≤ 4

Solve the two inequalities.

x − 2 ≤ 4 AND x − 2 ≥ −4

x ≤ 6 AND x ≥ −2

Rewrite as a compound inequality.

−2 ≤ x ≤ 6

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