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Popular >

2|2x-3|+4>14

Solution

2 ∣ 2 x - 3 ∣ + 4 > 14

Solution

x < - 1 or x > 4

+1

Interval Notation

(- \infty, - 1) \cup (4, \infty)

Solution steps

2 ∣ 2 x - 3 ∣ + 4 > 14

Move

4

to the right side

2 ∣ 2 x - 3 ∣ > 10

Divide both sides by

2

∣ 2 x - 3 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 3 < - 5 or 2 x - 3 > 5

2 x - 3 < - 5 or 2 x - 3 > 5

x < - 1 or x > 4

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Frequently Asked Questions (FAQ)

What is 2|2x-3|+4>14 ?
The solution to 2|2x-3|+4>14 is x<-1\lor x>4