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Popular >

2|x-3|-3>15

Solution

2 ∣ x - 3 ∣ - 3 > 15

Solution

x < - 6 or x > 12

+1

Interval Notation

(- \infty, - 6) \cup (12, \infty)

Solution steps

2 ∣ x - 3 ∣ - 3 > 15

Move

3

to the right side

2 ∣ x - 3 ∣ > 18

Divide both sides by

2

∣ x - 3 ∣ > 9

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 3 < - 9 or x - 3 > 9

x - 3 < - 9 or x - 3 > 9

x < - 6 or x > 12

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Frequently Asked Questions (FAQ)

What is 2|x-3|-3>15 ?
The solution to 2|x-3|-3>15 is x<-6\lor x>12