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Popular >

|5x+2|+1>8

Solution

∣ 5 x + 2 ∣ + 1 > 8

Solution

x < - \frac{9}{5} or x > 1

+2

Solution steps

∣ 5 x + 2 ∣ + 1 > 8

Move

1

to the right side

∣ 5 x + 2 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

5 x + 2 < - 7 or 5 x + 2 > 7

5 x + 2 < - 7 or 5 x + 2 > 7

x < - \frac{9}{5} or x > 1

Popular Examples

6(-7+2n)=-(n+8)-4n

6 (- 7 + 2 n) = - (n + 8) - 4 n

factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5 factor

- 10 (1 - 2 x)^{4} (3 x - 2)^{6} + 18 (3 x - 2)^{5} (1 - 2 x)^{5}

-14-8x=-2(-3x+7)

- 14 - 8 x = - 2 (- 3 x + 7)

(x-2)/(x+2)>= (2x-3)/(x-1)

\frac{x - 2}{x + 2} \geq \frac{2 x - 3}{x - 1}

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

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

Frequently Asked Questions (FAQ)

What is |5x+2|+1>8 ?
The solution to |5x+2|+1>8 is x<-9/5 \lor x>1