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Popular >

|x-1|<= 15

Solution

∣ x - 1 ∣ \leq 15

Solution

- 14 \leq x \leq 16

+1

Interval Notation

[- 14, 16]

Solution steps

∣ x - 1 ∣ \leq 15

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 15 \leq x - 1 \leq 15

x - 1 \geq - 15 and x - 1 \leq 15

x \geq - 14 and x \leq 16

Merge Overlapping Intervals

- 14 \leq x \leq 16

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Frequently Asked Questions (FAQ)

What is |x-1|<= 15 ?
The solution to |x-1|<= 15 is -14<= x<= 16