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Popular >

2|x-1|+3>13

Solution

2 ∣ x - 1 ∣ + 3 > 13

Solution

x < - 4 or x > 6

+1

Interval Notation

(- \infty, - 4) \cup (6, \infty)

Solution steps

2 ∣ x - 1 ∣ + 3 > 13

Move

3

to the right side

2 ∣ x - 1 ∣ > 10

Divide both sides by

2

∣ x - 1 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 1 < - 5 or x - 1 > 5

x - 1 < - 5 or x - 1 > 5

x < - 4 or x > 6

Graph

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\frac{( 2 ) ^{2} - 4}{( 2 ) ^{2} + ( 2 ) - 6}

Frequently Asked Questions (FAQ)

What is 2|x-1|+3>13 ?
The solution to 2|x-1|+3>13 is x<-4\lor x>6