What is |-5x+4|<x+16 ?

The solution to |-5x+4|<x+16 is -2<x<5

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|-5x+4|<x+16

∣ - 5 x + 4 ∣ < x + 16

- 2 < x < 5

Interval Notation

(- 2, 5)

Solution steps

∣ - 5 x + 4 ∣ < x + 16

Find positive and negative intervals

x \leq \frac{4}{5}, x > \frac{4}{5}

Solve the inequality for each interval

- 2 < x \leq \frac{4}{5} or \frac{4}{5} < x < 5

Merge Overlapping Intervals

- 2 < x < 5

∣ 4 x - 2 ∣ + 9 = 27

z^{2} + 8 z - 9

\frac{v + 127}{340.17} = \frac{v}{294.59}

x^{2} - 5 x - 6 \leq 0

- 2 (- 2)^{3} - 5