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Popular >

|(2x+7)/3 |<5

Solution

\frac{2 x + 7}{3} < 5

Solution

- 11 < x < 4

+1

Interval Notation

(- 11, 4)

Solution steps

\frac{2 x + 7}{3} < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < \frac{2 x + 7}{3} < 5

\frac{2 x + 7}{3} > - 5 and \frac{2 x + 7}{3} < 5

x > - 11 and x < 4

Merge Overlapping Intervals

- 11 < x < 4

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(6-x)/3 =(2x-1)/5

\frac{6 - x}{3} = \frac{2 x - 1}{5}

Frequently Asked Questions (FAQ)

What is |(2x+7)/3 |<5 ?
The solution to |(2x+7)/3 |<5 is -11<x<4