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Popular >

|(4x+8)/5 |<4

Solution

\frac{4 x + 8}{5} < 4

Solution

- 7 < x < 3

+1

Interval Notation

(- 7, 3)

Solution steps

\frac{4 x + 8}{5} < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < \frac{4 x + 8}{5} < 4

\frac{4 x + 8}{5} > - 4 and \frac{4 x + 8}{5} < 4

x > - 7 and x < 3

Merge Overlapping Intervals

- 7 < x < 3

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2700 \cdot (- 0.1)^{3}

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∣ 3 x - 9 ∣ > 18

Frequently Asked Questions (FAQ)

What is |(4x+8)/5 |<4 ?
The solution to |(4x+8)/5 |<4 is -7<x<3