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Popular >

2|2x-1|+10>20

Solution

2 ∣ 2 x - 1 ∣ + 10 > 20

Solution

x < - 2 or x > 3

+1

Interval Notation

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

Solution steps

2 ∣ 2 x - 1 ∣ + 10 > 20

Move

10

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 5x^2-32x-21 factor

5 x^{2} - 32 x - 21

factor x^2+20x+51 factor

x^{2} + 20 x + 51

x^{2} + 5 x \leq 0

\frac{5}{6} = \frac{7 n + 9}{9}

3 x^{2} + 24 x + 36 = 0

Frequently Asked Questions (FAQ)

What is 2|2x-1|+10>20 ?
The solution to 2|2x-1|+10>20 is x<-2\lor x>3