What is -3|x+14|>=-9 ?

The solution to -3|x+14|>=-9 is -17<= x<=-11

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-3|x+14|>=-9

- 3 ∣ x + 14 ∣ \geq - 9

- 17 \leq x \leq - 11

Interval Notation

[- 17, - 11]

Solution steps

- 3 ∣ x + 14 ∣ \geq - 9

Multiply both sides by

- 1

3 ∣ x + 14 ∣ \leq 9

Divide both sides by

3

∣ x + 14 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x + 14 \leq 3

x + 14 \geq - 3 and x + 14 \leq 3

x \geq - 17 and x \leq - 11

Merge Overlapping Intervals

- 17 \leq x \leq - 11

4 (3 h - 11) \leq 6 (2 h - 3) + 19

1 x^{2} - 2 x - 1 = 0

y^{\frac{2}{9}} \cdot y^{\frac{5}{18}}

2 ∣ x + 4 ∣ - 6 = 14

48 y - 13 + 12 y = 72 y - 3 - 24 y