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Popular >

-48+4|9-x|>=-36

Solution

- 48 + 4 ∣ 9 - x ∣ \geq - 36

Solution

x \leq 6 or x \geq 12

+1

Interval Notation

(- \infty, 6] \cup [12, \infty)

Solution steps

- 48 + 4 ∣ 9 - x ∣ \geq - 36

Move

48

to the right side

4 ∣ 9 - x ∣ \geq 12

Divide both sides by

4

∣ 9 - x ∣ \geq 3

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

9 - x \leq - 3 or 9 - x \geq 3

9 - x \leq - 3 or 9 - x \geq 3

x \leq 6 or x \geq 12

Popular Examples

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3 + 3 k < 9

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(x+3)(x-1)(x-3)<0

(x + 3) (x - 1) (x - 3) < 0

12 x - 3 < 8

Frequently Asked Questions (FAQ)

What is -48+4|9-x|>=-36 ?
The solution to -48+4|9-x|>=-36 is x<= 6\lor x>= 12