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Popular >

|2x+7|<5

Solution

∣ 2 x + 7 ∣ < 5

Solution

- 6 < x < - 1

+1

Interval Notation

(- 6, - 1)

Solution steps

∣ 2 x + 7 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < 2 x + 7 < 5

2 x + 7 > - 5 and 2 x + 7 < 5

x > - 6 and x < - 1

Merge Overlapping Intervals

- 6 < x < - 1

Popular Examples

∣ x + 2 ∣ > 4

simplify (8^{-2})/(3^{-3)}simplify

\frac{8 ^{- 2}}{3 ^{- 3}}

simplify (3i)/(-2+i)simplify

\frac{3 i}{- 2 + i}

A = 0.65 (0) + 567

(a-4)/7 =(a+11)/2

\frac{a - 4}{7} = \frac{a + 11}{2}

Frequently Asked Questions (FAQ)

What is |2x+7|<5 ?
The solution to |2x+7|<5 is -6<x<-1