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Popular >

|x-7|<2

Solution

∣ x - 7 ∣ < 2

Solution

5 < x < 9

+1

Interval Notation

(5, 9)

Solution steps

∣ x - 7 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x - 7 < 2

x - 7 > - 2 and x - 7 < 2

x > 5 and x < 9

Merge Overlapping Intervals

5 < x < 9

Popular Examples

p^{2} + 5 p - 14 = 0

simplify (1+a^3)/(1+a)simplify

\frac{1 + a ^{3}}{1 + a}

2 x^{2} + 13 x = 7

simplify (1/(x-1))^2 simplify

(\frac{1}{x - 1})^{2}

factor (x-(2-5i))(x-(2+5i))factor

(x - (2 - 5 i)) (x - (2 + 5 i))

Frequently Asked Questions (FAQ)

What is |x-7|<2 ?
The solution to |x-7|<2 is 5<x<9