What is |-2x-4|+x<5 ?

The solution to |-2x-4|+x<5 is -9<x< 1/3

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|-2x-4|+x<5

∣ - 2 x - 4 ∣ + x < 5

- 9 < x < \frac{1}{3}

Interval Notation

(- 9, \frac{1}{3})

Decimal Notation

- 9 < x < 0.33333 \dots

Solution steps

∣ - 2 x - 4 ∣ + x < 5

Find positive and negative intervals

x \leq - 2, x > - 2

Solve the inequality for each interval

- 9 < x \leq - 2 or - 2 < x < \frac{1}{3}

Merge Overlapping Intervals

- 9 < x < \frac{1}{3}

5 (m^{2} + 9 m)

- 4 b + 9 \leq - 7

f = e^{1}

(16)^{\frac{1}{4}}

2 j^{2} + 17 j + 8