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Popular >

4|x-5|-5<19

Solution

4 ∣ x - 5 ∣ - 5 < 19

Solution

- 1 < x < 11

+1

Interval Notation

(- 1, 11)

Solution steps

4 ∣ x - 5 ∣ - 5 < 19

Move

5

to the right side

4 ∣ x - 5 ∣ < 24

Divide both sides by

4

∣ x - 5 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 5 < 6

x - 5 > - 6 and x - 5 < 6

x > - 1 and x < 11

Merge Overlapping Intervals

- 1 < x < 11

Popular Examples

∣ 5 x - 1 ∣ + 2 = 9

simplify 1/3+3 simplify

\frac{1}{3} + 3

(x - 1)^{2} = 64

factor x^{-5/2}+2x^{-3/2}+x^{-1/2}factor

x^{- \frac{5}{2}} + 2 x^{- \frac{3}{2}} + x^{- \frac{1}{2}}

simplify (24)/(sqrt(6))simplify

\frac{24}{6}

Frequently Asked Questions (FAQ)

What is 4|x-5|-5<19 ?
The solution to 4|x-5|-5<19 is -1<x<11