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Popular >

|5x+6|+1>15

Solution

∣ 5 x + 6 ∣ + 1 > 15

Solution

x < - 4 or x > \frac{8}{5}

+2

Interval Notation

(- \infty, - 4) \cup (\frac{8}{5}, \infty)

Decimal Notation

x < - 4 or x > 1.6

Solution steps

∣ 5 x + 6 ∣ + 1 > 15

Move

1

to the right side

∣ 5 x + 6 ∣ > 14

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

5 x + 6 < - 14 or 5 x + 6 > 14

5 x + 6 < - 14 or 5 x + 6 > 14

x < - 4 or x > \frac{8}{5}

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\frac{6}{11} = 3 x^{2}

5 x^{2} + 20 x = - 35

3 x - 12 - 9 = 2 - x + 5

Frequently Asked Questions (FAQ)

What is |5x+6|+1>15 ?
The solution to |5x+6|+1>15 is x<-4\lor x> 8/5