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Popular >

|x-2|<5

Solution

∣ x - 2 ∣ < 5

Solution

- 3 < x < 7

+1

Interval Notation

(- 3, 7)

Solution steps

∣ x - 2 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < x - 2 < 5

x - 2 > - 5 and x - 2 < 5

x > - 3 and x < 7

Merge Overlapping Intervals

- 3 < x < 7

Popular Examples

2 (3 x - 7) = 22

simplify ln(0^+)simplify

ln (0^{+})

factor 4xy^2(3y-x)-2x^2(x-3y)^2 factor

4 x y^{2} (3 y - x) - 2 x^{2} (x - 3 y)^{2}

6 x + 2 = x + 17

simplify 4/9*3 simplify

\frac{4}{9} \cdot 3

Frequently Asked Questions (FAQ)

What is |x-2|<5 ?
The solution to |x-2|<5 is -3<x<7