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Popular >

|6x+2|-15<-1

Solution

∣ 6 x + 2 ∣ - 15 < - 1

Solution

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

+2

Interval Notation

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

Decimal Notation

- 2.66666 \dots < x < 2

Solution steps

∣ 6 x + 2 ∣ - 15 < - 1

Move

15

to the right side

∣ 6 x + 2 ∣ < 14

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 14 < 6 x + 2 < 14

6 x + 2 > - 14 and 6 x + 2 < 14

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

Merge Overlapping Intervals

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

Popular Examples

2 t^{2} - 5 t = 3

-[-2y+6(2y-7)]=10(1-y)-16(4y+6)

- [- 2 y + 6 (2 y - 7)] = 10 (1 - y) - 16 (4 y + 6)

6 x^{2} + 7 x - 2 = 0

factor 3b^4-6b^2+27b factor

3 b^{4} - 6 b^{2} + 27 b

simplify (2n!)/(2^nn!)simplify

\frac{2 n !}{2 ^{n} n !}

Frequently Asked Questions (FAQ)

What is |6x+2|-15<-1 ?
The solution to |6x+2|-15<-1 is -8/3 <x<2