What is -10|-9-8v|>=-90 ?

The solution to -10|-9-8v|>=-90 is -9/4 <= v<= 0

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-10|-9-8v|>=-90

- 10 ∣ - 9 - 8 v ∣ \geq - 90

- \frac{9}{4} \leq v \leq 0

Interval Notation

[- \frac{9}{4}, 0]

Decimal Notation

- 2.25 \leq v \leq 0

Solution steps

- 10 ∣ - 9 - 8 v ∣ \geq - 90

Multiply both sides by

- 1

10 ∣ - 9 - 8 v ∣ \leq 90

Divide both sides by

10

∣ - 9 - 8 v ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq - 9 - 8 v \leq 9

- 9 - 8 v \geq - 9 and - 9 - 8 v \leq 9

v \leq 0 and v \geq - \frac{9}{4}

Merge Overlapping Intervals

- \frac{9}{4} \leq v \leq 0

\frac{7}{8} - \frac{2}{3}

6 k + 6 - 3 k = - 2 + 3 k + 8

i^{70}

x^{3} - 11 x^{2} + 30 x

(\frac{\frac{3}{4 x y}}{\frac{x}{y}}) \frac{2 x y}{9}