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Popular >

2|x-10|-6<0

Solution

2 ∣ x - 10 ∣ - 6 < 0

Solution

7 < x < 13

+1

Interval Notation

(7, 13)

Solution steps

2 ∣ x - 10 ∣ - 6 < 0

Move

6

to the right side

2 ∣ x - 10 ∣ < 6

Divide both sides by

2

∣ x - 10 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < x - 10 < 3

x - 10 > - 3 and x - 10 < 3

x > 7 and x < 13

Merge Overlapping Intervals

7 < x < 13

Popular Examples

∣ 4 x - 2 ∣ < 18

simplify sqrt(24)simplify

24

0 = (x - 1)^{2} + 3

simplify-3/4+2 simplify

- \frac{3}{4} + 2

10 + 6 x \leq 52

Frequently Asked Questions (FAQ)

What is 2|x-10|-6<0 ?
The solution to 2|x-10|-6<0 is 7<x<13