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Popular >

5|x-9|-8<= 27

Solution

5 ∣ x - 9 ∣ - 8 \leq 27

Solution

2 \leq x \leq 16

+1

Interval Notation

[2, 16]

Solution steps

5 ∣ x - 9 ∣ - 8 \leq 27

Move

8

to the right side

5 ∣ x - 9 ∣ \leq 35

Divide both sides by

5

∣ x - 9 ∣ \leq 7

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 7 \leq x - 9 \leq 7

x - 9 \geq - 7 and x - 9 \leq 7

x \geq 2 and x \leq 16

Merge Overlapping Intervals

2 \leq x \leq 16

Popular Examples

π^{e} < e^{π}

simplify 1/(x^{-5)+y^{-5}}simplify

\frac{1}{x ^{- 5} + y ^{- 5}}

-2(x-5)-12<= 4+6(x+3)

- 2 (x - 5) - 12 \leq 4 + 6 (x + 3)

- 1 > \frac{12 + x}{4}

4 x - 3 \geq 2 x - 8

Frequently Asked Questions (FAQ)

What is 5|x-9|-8<= 27 ?
The solution to 5|x-9|-8<= 27 is 2<= x<= 16