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Popular >

|x-9|<= 3

Solution

∣ x - 9 ∣ \leq 3

Solution

6 \leq x \leq 12

+1

Interval Notation

[6, 12]

Solution steps

∣ x - 9 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 9 \leq 3

x - 9 \geq - 3 and x - 9 \leq 3

x \geq 6 and x \leq 12

Merge Overlapping Intervals

6 \leq x \leq 12

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Frequently Asked Questions (FAQ)

What is |x-9|<= 3 ?
The solution to |x-9|<= 3 is 6<= x<= 12