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Popular >

2|3-4x|>16

Solution

2 ∣ 3 - 4 x ∣ > 16

Solution

x < - \frac{5}{4} or x > \frac{11}{4}

+2

Interval Notation

(- \infty, - \frac{5}{4}) \cup (\frac{11}{4}, \infty)

Decimal Notation

x < - 1.25 or x > 2.75

Solution steps

2 ∣ 3 - 4 x ∣ > 16

Divide both sides by

2

∣ 3 - 4 x ∣ > 8

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 - 4 x < - 8 or 3 - 4 x > 8

3 - 4 x < - 8 or 3 - 4 x > 8

x < - \frac{5}{4} or x > \frac{11}{4}

Popular Examples

- x - 6 > - 92 - 3 x

factor k^2-6k-16 factor

k^{2} - 6 k - 16

factor 192x^8+81x^5y^3 factor

192 x^{8} + 81 x^{5} y^{3}

simplify 4x^{-1/2}simplify

4 x^{- \frac{1}{2}}

(2x+1)(x-3)=(x+1)(x-1)-8

(2 x + 1) (x - 3) = (x + 1) (x - 1) - 8

Frequently Asked Questions (FAQ)

What is 2|3-4x|>16 ?
The solution to 2|3-4x|>16 is x<-5/4 \lor x> 11/4