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Popular >

|3x-1|>7

Solution

∣ 3 x - 1 ∣ > 7

Solution

x < - 2 or x > \frac{8}{3}

+2

Interval Notation

(- \infty, - 2) \cup (\frac{8}{3}, \infty)

Decimal Notation

x < - 2 or x > 2.66666 \dots

Solution steps

∣ 3 x - 1 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 x - 1 < - 7 or 3 x - 1 > 7

3 x - 1 < - 7 or 3 x - 1 > 7

x < - 2 or x > \frac{8}{3}

Popular Examples

p^{2} = - 3

factor x^4-2x^3-8x+16 factor

x^{4} - 2 x^{3} - 8 x + 16

factor 81x^6-(y+1)^2 factor

81 x^{6} - (y + 1)^{2}

(5(x-2))/6-x=1-x/9

\frac{5 ( x - 2 )}{6} - x = 1 - \frac{x}{9}

20-23[(2-8)+(6+2)(2-7)]-4-3+7[2-5(2-6)]

20 - 23 [(2 - 8) + (6 + 2) (2 - 7)] - 4 - 3 + 7 [2 - 5 (2 - 6)]

Frequently Asked Questions (FAQ)

What is |3x-1|>7 ?
The solution to |3x-1|>7 is x<-2\lor x> 8/3