What is 16-2|x+5|>8 ?

The solution to 16-2|x+5|>8 is -9<x<-1

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16-2|x+5|>8

16 - 2 ∣ x + 5 ∣ > 8

- 9 < x < - 1

Interval Notation

(- 9, - 1)

Solution steps

16 - 2 ∣ x + 5 ∣ > 8

Move

16

to the right side

- 2 ∣ x + 5 ∣ > - 8

Multiply both sides by

- 1

2 ∣ x + 5 ∣ < 8

Divide both sides by

2

∣ x + 5 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < x + 5 < 4

x + 5 > - 4 and x + 5 < 4

x > - 9 and x < - 1

Merge Overlapping Intervals

- 9 < x < - 1

25 b^{3} - 10 b^{2}

x^{6}

(\frac{7}{4})^{11}

4 - 2 (x + 3) = 13 - 5 (x + 4)

x - 4 < \frac{2 x}{3} + \frac{2 - 3 x}{5}