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Popular >

3|x-4|-1<17

Solution

3 ∣ x - 4 ∣ - 1 < 17

Solution

- 2 < x < 10

+1

Interval Notation

(- 2, 10)

Solution steps

3 ∣ x - 4 ∣ - 1 < 17

Move

1

to the right side

3 ∣ x - 4 ∣ < 18

Divide both sides by

3

∣ x - 4 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < x - 4 < 6

x - 4 > - 6 and x - 4 < 6

x > - 2 and x < 10

Merge Overlapping Intervals

- 2 < x < 10

Popular Examples

(x-2)/(x-5)>= (x+5)/(x+9)

\frac{x - 2}{x - 5} \geq \frac{x + 5}{x + 9}

factor-5x^2-12x+9 factor

- 5 x^{2} - 12 x + 9

factor 81x^2-196y^2 factor

81 x^{2} - 196 y^{2}

simplify sqrt(12)*sqrt(14)simplify

12 \cdot 14

join pi/2+2pi join

\frac{π}{2} + 2 π

Frequently Asked Questions (FAQ)

What is 3|x-4|-1<17 ?
The solution to 3|x-4|-1<17 is -2<x<10