Question 167335
|x - 7| ≤ 10

We use the word AND.

Notice that 10 is bigger than 0.

This means we apply the following rules:

x  ≤ 10 AND x ≥ -10

We set up two cases and solve each one individually.

CASE ONE:

x - 7 ≤ 10

x ≤ 10 + 7

x ≤ 17

==========

CASE TWO:

x - 7 ≥ -10

x ≥ -10 + 7

x ≥ -3

Final answer: x ≤ 17 AND x ≥ -3

The answer can also be written this way: -3 ≤ x ≤ 17

Understand?