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Popular >

|2x+9|<7

Solution

∣ 2 x + 9 ∣ < 7

Solution

- 8 < x < - 1

+1

Interval Notation

(- 8, - 1)

Solution steps

∣ 2 x + 9 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 2 x + 9 < 7

2 x + 9 > - 7 and 2 x + 9 < 7

x > - 8 and x < - 1

Merge Overlapping Intervals

- 8 < x < - 1

Popular Examples

12k^2+15k=16k+20

12 k^{2} + 15 k = 16 k + 20

simplify (24+5n-n^2)/(n^2-16n+64)simplify

\frac{24 + 5 n - n ^{2}}{n ^{2} - 16 n + 64}

1 < ∣ x + 3 ∣ \leq 2

- x^{2} = - 9

simplify ((5x^7)/2)^3 simplify

(\frac{5 x ^{7}}{2})^{3}

Frequently Asked Questions (FAQ)

What is |2x+9|<7 ?
The solution to |2x+9|<7 is -8<x<-1