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Popular >

3|x+5|<= 6

Solution

3 ∣ x + 5 ∣ \leq 6

Solution

- 7 \leq x \leq - 3

+1

Interval Notation

[- 7, - 3]

Solution steps

3 ∣ x + 5 ∣ \leq 6

Divide both sides by

3

∣ x + 5 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 5 \leq 2

x + 5 \geq - 2 and x + 5 \leq 2

x \geq - 7 and x \leq - 3

Merge Overlapping Intervals

- 7 \leq x \leq - 3

Popular Examples

log_{27}(9)= 2/3

lo g_{27} (9) = \frac{2}{3}

5 x^{2} - 3 = 0

(2-3x)/5-(9+2x)/6 =(9x)/(10)

\frac{2 - 3 x}{5} - \frac{9 + 2 x}{6} = \frac{9 x}{10}

simplify (x^{-2}y)^{-2}simplify

(x^{- 2} y)^{- 2}

factor 1-216b^3 factor

1 - 216 b^{3}

Frequently Asked Questions (FAQ)

What is 3|x+5|<= 6 ?
The solution to 3|x+5|<= 6 is -7<= x<=-3