What is (4|x+7|)/3 <8 ?

The solution to (4|x+7|)/3 <8 is -13<x<-1

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(4|x+7|)/3 <8

\frac{4 ∣ x + 7 ∣}{3} < 8

- 13 < x < - 1

Interval Notation

(- 13, - 1)

Solution steps

\frac{4 ∣ x + 7 ∣}{3} < 8

Multiply both sides by

3

4 ∣ x + 7 ∣ < 24

Divide both sides by

4

∣ x + 7 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x + 7 < 6

x + 7 > - 6 and x + 7 < 6

x > - 13 and x < - 1

Merge Overlapping Intervals

- 13 < x < - 1

- 7 (s + 2) - 12 = 37

9.817 = \frac{x}{360} π 5^{2}

a^{2} + 2^{2} = 4^{2}

121 n^{2} - 66 n + 9

(\frac{a ^{2}}{b})^{5} (\frac{a ^{3} b ^{2}}{c ^{3}})^{3}