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Popular >

|2x-5|<= 13

Solution

∣ 2 x - 5 ∣ \leq 13

Solution

- 4 \leq x \leq 9

+1

Interval Notation

[- 4, 9]

Solution steps

∣ 2 x - 5 ∣ \leq 13

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 13 \leq 2 x - 5 \leq 13

2 x - 5 \geq - 13 and 2 x - 5 \leq 13

x \geq - 4 and x \leq 9

Merge Overlapping Intervals

- 4 \leq x \leq 9

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Frequently Asked Questions (FAQ)

What is |2x-5|<= 13 ?
The solution to |2x-5|<= 13 is -4<= x<= 9