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Popular >

2-4|2x+4|<-26

Solution

2 - 4 ∣ 2 x + 4 ∣ < - 26

Solution

x < - \frac{11}{2} or x > \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{11}{2}) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < - 5.5 or x > 1.5

Solution steps

2 - 4 ∣ 2 x + 4 ∣ < - 26

Move

2

to the right side

- 4 ∣ 2 x + 4 ∣ < - 28

Multiply both sides by

- 1

4 ∣ 2 x + 4 ∣ > 28

Divide both sides by

4

∣ 2 x + 4 ∣ > 7

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 4 < - 7 or 2 x + 4 > 7

2 x + 4 < - 7 or 2 x + 4 > 7

x < - \frac{11}{2} or x > \frac{3}{2}

Popular Examples

∣ 2 x - a ∣ < 3

x^2+2|x+3|-10<= 0

x^{2} + 2 ∣ x + 3 ∣ - 10 \leq 0

∣ x - 6 ∣ > x^{2} - 5 x + 9

∣ x - 1 ∣ < x^{2} + 1

x^{3} - x \leq x

Frequently Asked Questions (FAQ)

What is 2-4|2x+4|<-26 ?
The solution to 2-4|2x+4|<-26 is x<-11/2 \lor x> 3/2