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Popular >

9|y-8|-6>= 30

Solution

9 ∣ y - 8 ∣ - 6 \geq 30

Solution

y \leq 4 or y \geq 12

+1

Interval Notation

(- \infty, 4] \cup [12, \infty)

Solution steps

9 ∣ y - 8 ∣ - 6 \geq 30

Move

6

to the right side

9 ∣ y - 8 ∣ \geq 36

Divide both sides by

9

∣ y - 8 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

y - 8 \leq - 4 or y - 8 \geq 4

y - 8 \leq - 4 or y - 8 \geq 4

y \leq 4 or y \geq 12

Popular Examples

|(-2x+9)(x-1)|<5|x-1|

∣ (- 2 x + 9) (x - 1) ∣ < 5 ∣ x - 1 ∣

∣ x - 3 ∣ - ∣ x - 6 ∣ > 1

∣ 4 x - 1 ∣ + 4 > 0

(x^2-4|x|+3)/(x(x+4))=>0

\frac{x ^{2} - 4 ∣ x ∣ + 3}{x ( x + 4 )} => 0

∣ x - 3 ∣ + 2 ∣ x + 1 ∣ > 4

Frequently Asked Questions (FAQ)

What is 9|y-8|-6>= 30 ?
The solution to 9|y-8|-6>= 30 is y<= 4\lor y>= 12