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Popular >

3|x+7|+6<= 24

Solution

3 ∣ x + 7 ∣ + 6 \leq 24

Solution

- 13 \leq x \leq - 1

+1

Interval Notation

[- 13, - 1]

Solution steps

3 ∣ x + 7 ∣ + 6 \leq 24

Move

6

to the right side

3 ∣ x + 7 ∣ \leq 18

Divide both sides by

3

∣ x + 7 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq x + 7 \leq 6

x + 7 \geq - 6 and x + 7 \leq 6

x \geq - 13 and x \leq - 1

Merge Overlapping Intervals

- 13 \leq x \leq - 1

Popular Examples

(x-2)/3-(x-3)/6 =(3-x)/2-3

\frac{x - 2}{3} - \frac{x - 3}{6} = \frac{3 - x}{2} - 3

5 (7 - x) = 31 - x

simplify 195*pi/(180)simplify

195 \cdot \frac{π}{180}

3 x - 4 \leq - 16

7 x - 1 + 5 x - 23 = 180

Frequently Asked Questions (FAQ)

What is 3|x+7|+6<= 24 ?
The solution to 3|x+7|+6<= 24 is -13<= x<=-1