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Popular >

-2-6|2x-9|<-38

Solution

- 2 - 6 ∣ 2 x - 9 ∣ < - 38

Solution

x < \frac{3}{2} or x > \frac{15}{2}

+2

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{15}{2}, \infty)

Decimal Notation

x < 1.5 or x > 7.5

Solution steps

- 2 - 6 ∣ 2 x - 9 ∣ < - 38

Move

2

to the right side

- 6 ∣ 2 x - 9 ∣ < - 36

Multiply both sides by

- 1

6 ∣ 2 x - 9 ∣ > 36

Divide both sides by

6

∣ 2 x - 9 ∣ > 6

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x - 9 < - 6 or 2 x - 9 > 6

2 x - 9 < - 6 or 2 x - 9 > 6

x < \frac{3}{2} or x > \frac{15}{2}

Popular Examples

2(3x-2)>3(2x-1)

2 (3 x - 2) > 3 (2 x - 1)

3 X^{2} + 4 X - 2 = 0

\frac{y}{2} + \frac{y}{7} = 9

- 50 u^{2} - 22 = 0

simplify sqrt(81)simplify

81

Frequently Asked Questions (FAQ)

What is -2-6|2x-9|<-38 ?
The solution to -2-6|2x-9|<-38 is x< 3/2 \lor x> 15/2