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Popular >

|-9v|-8<= 19

Solution

∣ - 9 v ∣ - 8 \leq 19

Solution

- 3 \leq v \leq 3

+1

Interval Notation

[- 3, 3]

Solution steps

∣ - 9 v ∣ - 8 \leq 19

Move

8

to the right side

∣ - 9 v ∣ \leq 27

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 27 \leq - 9 v \leq 27

- 9 v \geq - 27 and - 9 v \leq 27

v \leq 3 and v \geq - 3

Merge Overlapping Intervals

- 3 \leq v \leq 3

Popular Examples

factor 4x^2+2x-2 factor

4 x^{2} + 2 x - 2

(5x)/4+9=10x-12

\frac{5 x}{4} + 9 = 10 x - 12

-16t^2+201t+45=0

- 16 t^{2} + 201 t + 45 = 0

9 x^{2} + 18 x + 8 = 0

factor x^4-x^3-28x^2+76x-48 factor

x^{4} - x^{3} - 28 x^{2} + 76 x - 48

Frequently Asked Questions (FAQ)

What is |-9v|-8<= 19 ?
The solution to |-9v|-8<= 19 is -3<= v<= 3