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Popular >

-3|3-3x|-2<=-29

Solution

- 3 ∣ 3 - 3 x ∣ - 2 \leq - 29

Solution

x \leq - 2 or x \geq 4

+1

Interval Notation

(- \infty, - 2] \cup [4, \infty)

Solution steps

- 3 ∣ 3 - 3 x ∣ - 2 \leq - 29

Move

2

to the right side

- 3 ∣ 3 - 3 x ∣ \leq - 27

Multiply both sides by

- 1

3 ∣ 3 - 3 x ∣ \geq 27

Divide both sides by

3

∣ 3 - 3 x ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

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

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

x \leq - 2 or x \geq 4

Popular Examples

∣ z + 25 ∣ = 5

9 - 2 x = 15

-9(x-5)+9<= 3x+42

- 9 (x - 5) + 9 \leq 3 x + 42

\frac{3 w + 5}{4} \geq 2 w

simplify (a/b-b/a)^2 simplify

(\frac{a}{b} - \frac{b}{a})^{2}

Frequently Asked Questions (FAQ)

What is -3|3-3x|-2<=-29 ?
The solution to -3|3-3x|-2<=-29 is x<=-2\lor x>= 4