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Popular >

|x-2|<= 1

Solution

∣ x - 2 ∣ \leq 1

Solution

1 \leq x \leq 3

+1

Interval Notation

[1, 3]

Solution steps

∣ x - 2 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq x - 2 \leq 1

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

x \geq 1 and x \leq 3

Merge Overlapping Intervals

1 \leq x \leq 3

Popular Examples

simplify 1*2/5 simplify

1 \cdot \frac{2}{5}

factor d^2+6d+8 factor

d^{2} + 6 d + 8

simplify 1+1/4+1/9+1/16+1/25 simplify

1 + \frac{1}{4} + \frac{1}{9} + \frac{1}{16} + \frac{1}{25}

e^{x} > 2

factor 3x^3-6x^2-24x factor

3 x^{3} - 6 x^{2} - 24 x

Frequently Asked Questions (FAQ)

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