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Popular >

|2x-9|<= 13

Solution

∣ 2 x - 9 ∣ \leq 13

Solution

- 2 \leq x \leq 11

+1

Solution steps

∣ 2 x - 9 ∣ \leq 13

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 13 \leq 2 x - 9 \leq 13

2 x - 9 \geq - 13 and 2 x - 9 \leq 13

x \geq - 2 and x \leq 11

Merge Overlapping Intervals

- 2 \leq x \leq 11

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Frequently Asked Questions (FAQ)

What is |2x-9|<= 13 ?
The solution to |2x-9|<= 13 is -2<= x<= 11