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Popular >

|-2x+3|<= 11

Solution

∣ - 2 x + 3 ∣ \leq 11

Solution

- 4 \leq x \leq 7

+1

Interval Notation

[- 4, 7]

Solution steps

∣ - 2 x + 3 ∣ \leq 11

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 11 \leq - 2 x + 3 \leq 11

- 2 x + 3 \geq - 11 and - 2 x + 3 \leq 11

x \leq 7 and x \geq - 4

Merge Overlapping Intervals

- 4 \leq x \leq 7

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(x-5)/(2x+7)>= 1

\frac{x - 5}{2 x + 7} \geq 1

Frequently Asked Questions (FAQ)

What is |-2x+3|<= 11 ?
The solution to |-2x+3|<= 11 is -4<= x<= 7