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Popular >

|2x-3|-4<= 5

Solution

∣ 2 x - 3 ∣ - 4 \leq 5

Solution

- 3 \leq x \leq 6

+1

Interval Notation

[- 3, 6]

Solution steps

∣ 2 x - 3 ∣ - 4 \leq 5

Move

4

to the right side

∣ 2 x - 3 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq 2 x - 3 \leq 9

2 x - 3 \geq - 9 and 2 x - 3 \leq 9

x \geq - 3 and x \leq 6

Merge Overlapping Intervals

- 3 \leq x \leq 6

Popular Examples

simplify |-4+7|simplify

∣ - 4 + 7 ∣

simplify 2/5-1/10 simplify

\frac{2}{5} - \frac{1}{10}

factor-18x+2x^2-72 factor

- 18 x + 2 x^{2} - 72

4 = - k - 3 k

factor x^3-6x^2+18x factor

x^{3} - 6 x^{2} + 18 x

Frequently Asked Questions (FAQ)

What is |2x-3|-4<= 5 ?
The solution to |2x-3|-4<= 5 is -3<= x<= 6