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Popular >

|2x-1|-3<= 2

Solution

∣ 2 x - 1 ∣ - 3 \leq 2

Solution

- 2 \leq x \leq 3

+1

Interval Notation

[- 2, 3]

Solution steps

∣ 2 x - 1 ∣ - 3 \leq 2

Move

3

to the right side

∣ 2 x - 1 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq 2 x - 1 \leq 5

2 x - 1 \geq - 5 and 2 x - 1 \leq 5

x \geq - 2 and x \leq 3

Merge Overlapping Intervals

- 2 \leq x \leq 3

Popular Examples

2<|(3-x)/(2-3x)|<3

2 < \frac{3 - x}{2 - 3 x} < 3

12 x + 7 < - 11

simplify-(220)/(2(-1))simplify

- \frac{220}{2 ( - 1 )}

\frac{r}{- 2} < - 6

simplify (5x^3y^9)/(20x^2y^{-2)}simplify

\frac{5 x ^{3} y ^{9}}{20 x ^{2} y ^{- 2}}

Frequently Asked Questions (FAQ)

What is |2x-1|-3<= 2 ?
The solution to |2x-1|-3<= 2 is -2<= x<= 3