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Popular >

|3x-4|>14

Solution

∣ 3 x - 4 ∣ > 14

Solution

x < - \frac{10}{3} or x > 6

+2

Interval Notation

(- \infty, - \frac{10}{3}) \cup (6, \infty)

Decimal Notation

x < - 3.33333 \dots or x > 6

Solution steps

∣ 3 x - 4 ∣ > 14

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 x - 4 < - 14 or 3 x - 4 > 14

3 x - 4 < - 14 or 3 x - 4 > 14

x < - \frac{10}{3} or x > 6

Popular Examples

2 x^{2} + 9 x - 2 = 0

simplify (1/9)^{-1}simplify

(\frac{1}{9})^{- 1}

factor 2x^2+10x+12 factor

2 x^{2} + 10 x + 12

simplify 5+3/8 simplify

5 + \frac{3}{8}

longmult 0.2*0.3 long multiplication

0.2 \cdot 0.3

Frequently Asked Questions (FAQ)

What is |3x-4|>14 ?
The solution to |3x-4|>14 is x<-10/3 \lor x>6