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Popular >

2|2x-1|+12>22

Solution

2 ∣ 2 x - 1 ∣ + 12 > 22

Solution

x < - 2 or x > 3

+1

Interval Notation

(- \infty, - 2) \cup (3, \infty)

Solution steps

2 ∣ 2 x - 1 ∣ + 12 > 22

Move

12

to the right side

2 ∣ 2 x - 1 ∣ > 10

Divide both sides by

2

∣ 2 x - 1 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 1 < - 5 or 2 x - 1 > 5

2 x - 1 < - 5 or 2 x - 1 > 5

x < - 2 or x > 3

Popular Examples

factor-40abc-12ac factor

- 40 ab c - 12 a c

simplify sqrt(-6)sqrt(-54)simplify

- 6 - 54

-7x-8<=-2x+7<-7x-3

- 7 x - 8 \leq - 2 x + 7 < - 7 x - 3

simplify (x-L/2)^3 simplify

(x - \frac{L}{2})^{3}

factor-3x^2+4x+15 factor

- 3 x^{2} + 4 x + 15

Frequently Asked Questions (FAQ)

What is 2|2x-1|+12>22 ?
The solution to 2|2x-1|+12>22 is x<-2\lor x>3