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Popular >

|x-2|<= 17

Solution

∣ x - 2 ∣ \leq 17

Solution

- 15 \leq x \leq 19

+1

Solution steps

∣ x - 2 ∣ \leq 17

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 17 \leq x - 2 \leq 17

x - 2 \geq - 17 and x - 2 \leq 17

x \geq - 15 and x \leq 19

Merge Overlapping Intervals

- 15 \leq x \leq 19

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Frequently Asked Questions (FAQ)

What is |x-2|<= 17 ?
The solution to |x-2|<= 17 is -15<= x<= 19