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Popular >

|2x-5|<= 11

Solution

∣ 2 x - 5 ∣ \leq 11

Solution

- 3 \leq x \leq 8

+1

Solution steps

∣ 2 x - 5 ∣ \leq 11

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 11 \leq 2 x - 5 \leq 11

2 x - 5 \geq - 11 and 2 x - 5 \leq 11

x \geq - 3 and x \leq 8

Merge Overlapping Intervals

- 3 \leq x \leq 8

Popular Examples

2 x^{2} - 8 = - 40

3 u \geq - 6

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x^{4} - 8 x^{3} + 26 x^{2} - 32 x + 13

∣ 10 - 4 x ∣ + 1 \geq 5

Frequently Asked Questions (FAQ)

What is |2x-5|<= 11 ?
The solution to |2x-5|<= 11 is -3<= x<= 8