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Popular >

|x-2|<= 2

Solution

∣ x - 2 ∣ \leq 2

Solution

0 \leq x \leq 4

+1

Interval Notation

[0, 4]

Solution steps

∣ x - 2 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x - 2 \leq 2

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

x \geq 0 and x \leq 4

Merge Overlapping Intervals

0 \leq x \leq 4

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Frequently Asked Questions (FAQ)

What is |x-2|<= 2 ?
The solution to |x-2|<= 2 is 0<= x<= 4