What is -3|x+13|>=-15 ?

The solution to -3|x+13|>=-15 is -18<= x<=-8

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-3|x+13|>=-15

- 3 ∣ x + 13 ∣ \geq - 15

- 18 \leq x \leq - 8

Interval Notation

[- 18, - 8]

Solution steps

- 3 ∣ x + 13 ∣ \geq - 15

Multiply both sides by

- 1

3 ∣ x + 13 ∣ \leq 15

Divide both sides by

3

∣ x + 13 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x + 13 \leq 5

x + 13 \geq - 5 and x + 13 \leq 5

x \geq - 18 and x \leq - 8

Merge Overlapping Intervals

- 18 \leq x \leq - 8

4 x + 9 = - 2 x - 15

2 (x - 2)^{2} = 16

\frac{1}{2} + \frac{2}{1}

2 (2 u - 7) = 22

5 (x + 7)^{2} = 245