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Popular >

3|x+9|-8<=-2

Solution

3 ∣ x + 9 ∣ - 8 \leq - 2

Solution

- 11 \leq x \leq - 7

+1

Interval Notation

[- 11, - 7]

Solution steps

3 ∣ x + 9 ∣ - 8 \leq - 2

Move

8

to the right side

3 ∣ x + 9 ∣ \leq 6

Divide both sides by

3

∣ x + 9 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 9 \leq 2

x + 9 \geq - 2 and x + 9 \leq 2

x \geq - 11 and x \leq - 7

Merge Overlapping Intervals

- 11 \leq x \leq - 7

Popular Examples

v - 17.6 = - 2.3

4 x^{2} - 8 x + 4 = 0

3/(x^2-1)+1> 2/(x-1)

\frac{3}{x ^{2} - 1} + 1 > \frac{2}{x - 1}

6 - 3 + 4 x + 1 = 5 x + 7

- x + 8 > 6

Frequently Asked Questions (FAQ)

What is 3|x+9|-8<=-2 ?
The solution to 3|x+9|-8<=-2 is -11<= x<=-7