You can put this solution on YOUR website! |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
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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?
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