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Popular >

|x+5|<9

Solution

∣ x + 5 ∣ < 9

Solution

- 14 < x < 4

+1

Interval Notation

(- 14, 4)

Solution steps

∣ x + 5 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x + 5 < 9

x + 5 > - 9 and x + 5 < 9

x > - 14 and x < 4

Merge Overlapping Intervals

- 14 < x < 4

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- \frac{0.8 ( 19 )}{( 0.01 ( 19 ) ^{2} + 1 ) ^{2}}

3 5^{2} + a^{2} = 9 1^{2}

Frequently Asked Questions (FAQ)

What is |x+5|<9 ?
The solution to |x+5|<9 is -14<x<4