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Popular >

|x-1|<= 2

Solution

∣ x - 1 ∣ \leq 2

Solution

- 1 \leq x \leq 3

+1

Interval Notation

[- 1, 3]

Solution steps

∣ x - 1 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x - 1 \leq 2

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

x \geq - 1 and x \leq 3

Merge Overlapping Intervals

- 1 \leq x \leq 3

Popular Examples

400 + x = 3 x

- 2 x + 3 + x > - x - 1

factor 3x^2-18x-21 factor

3 x^{2} - 18 x - 21

factor 10x^2+23xy+12y^2 factor

10 x^{2} + 23 x y + 12 y^{2}

(0.1x)/(0.2)-(0.27x+0.18)/(0.04)=1

\frac{0.1 x}{0.2} - \frac{0.27 x + 0.18}{0.04} = 1

Frequently Asked Questions (FAQ)

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