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Popular >

|x-5|<2

Solution

∣ x - 5 ∣ < 2

Solution

3 < x < 7

+1

Solution steps

∣ x - 5 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x - 5 < 2

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

x > 3 and x < 7

Merge Overlapping Intervals

3 < x < 7

Popular Examples

x^{2} - 17 x + 16 = 0

1 \leq y \leq 3

factor 2y^3+5y^2-6y-15 factor

2 y^{3} + 5 y^{2} - 6 y - 15

(-3)/4 m+1/2 m-1/2 m=(-7)/(12)

\frac{- 3}{4} m + \frac{1}{2} m - \frac{1}{2} m = \frac{- 7}{12}

factor 4xy+10x^2y^3-6x^4 factor

4 x y + 10 x^{2} y^{3} - 6 x^{4}

Frequently Asked Questions (FAQ)

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