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Popular >

2|2x-1|+4>10

Solution

2 ∣ 2 x - 1 ∣ + 4 > 10

Solution

x < - 1 or x > 2

+1

Solution steps

2 ∣ 2 x - 1 ∣ + 4 > 10

Move

4

to the right side

2 ∣ 2 x - 1 ∣ > 6

Divide both sides by

2

∣ 2 x - 1 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 1 < - 3 or 2 x - 1 > 3

2 x - 1 < - 3 or 2 x - 1 > 3

x < - 1 or x > 2

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Frequently Asked Questions (FAQ)

What is 2|2x-1|+4>10 ?
The solution to 2|2x-1|+4>10 is x<-1\lor x>2