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Popular >

3|x-1|-8>16

Solution

3 ∣ x - 1 ∣ - 8 > 16

Solution

x < - 7 or x > 9

+1

Interval Notation

(- \infty, - 7) \cup (9, \infty)

Solution steps

3 ∣ x - 1 ∣ - 8 > 16

Move

8

to the right side

3 ∣ x - 1 ∣ > 24

Divide both sides by

3

∣ x - 1 ∣ > 8

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 1 < - 8 or x - 1 > 8

x - 1 < - 8 or x - 1 > 8

x < - 7 or x > 9

Popular Examples

3 x + 2 = \frac{2 x + 13}{3}

3/5 (4k-1)>= 5/3 (3k-2)

\frac{3}{5} (4 k - 1) \geq \frac{5}{3} (3 k - 2)

factor x^3+7x^2+9x+63 factor

x^{3} + 7 x^{2} + 9 x + 63

simplify 1/(sqrt(0.00024))simplify

\frac{1}{0.00024}

n^{2} - 2 n - 3 = 0

Frequently Asked Questions (FAQ)

What is 3|x-1|-8>16 ?
The solution to 3|x-1|-8>16 is x<-7\lor x>9