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Popular >

|x+2|<9

Solution

∣ x + 2 ∣ < 9

Solution

- 11 < x < 7

+1

Interval Notation

(- 11, 7)

Solution steps

∣ x + 2 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x + 2 < 9

x + 2 > - 9 and x + 2 < 9

x > - 11 and x < 7

Merge Overlapping Intervals

- 11 < x < 7

Popular Examples

simplify (8^2)^3 simplify

(8^{2})^{3}

\frac{x}{2} - 5 > 15 - \frac{x}{3}

simplify (1/3 a-1/4 b)^4 simplify

(\frac{1}{3} a - \frac{1}{4} b)^{4}

\frac{x}{- 2} - 3 \leq - 4

factor 2x^2+4x-30 factor

2 x^{2} + 4 x - 30

Frequently Asked Questions (FAQ)

What is |x+2|<9 ?
The solution to |x+2|<9 is -11<x<7