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Popular >

|2x+7|<3

Solution

∣ 2 x + 7 ∣ < 3

Solution

- 5 < x < - 2

+1

Solution steps

∣ 2 x + 7 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < 2 x + 7 < 3

2 x + 7 > - 3 and 2 x + 7 < 3

x > - 5 and x < - 2

Merge Overlapping Intervals

- 5 < x < - 2

Popular Examples

simplify (a^5)^2 simplify

(a^{5})^{2}

0.157=0.0003x-1^{-5}

0.157 = 0.0003 x - 1^{- 5}

4(x+2)+x+1=2x-3+3(x+4)

4 (x + 2) + x + 1 = 2 x - 3 + 3 (x + 4)

simplify (sqrt(3)+2+1/(sqrt(3)+2))^2 simplify

(3 + 2 + \frac{1}{3 + 2})^{2}

simplify 1/2 3 simplify

\frac{1}{2} 3

Frequently Asked Questions (FAQ)

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