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Popular >

2|2x-3|+2>12

Solution

2 ∣ 2 x - 3 ∣ + 2 > 12

Solution

x < - 1 or x > 4

+1

Interval Notation

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

Solution steps

2 ∣ 2 x - 3 ∣ + 2 > 12

Move

2

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

Popular Examples

simplify \sqrt[3]{-81x^6y^4}simplify

factor x^3-2x+x-2 factor

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

5*t-0.5*9.81*t^2+8=0

5 \cdot t - 0.5 \cdot 9.81 \cdot t^{2} + 8 = 0

(188.64*10^3)=(((x^2-10^2))/2)

(188.64 \cdot 1 0^{3}) = (\frac{( x ^{2} - 1 0 ^{2} )}{2})

∣ 2 x + 1 ∣ \geq 0

Frequently Asked Questions (FAQ)

What is 2|2x-3|+2>12 ?
The solution to 2|2x-3|+2>12 is x<-1\lor x>4