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Popular >

|2x+3|>8

Solution

∣ 2 x + 3 ∣ > 8

Solution

x < - \frac{11}{2} or x > \frac{5}{2}

+2

Interval Notation

(- \infty, - \frac{11}{2}) \cup (\frac{5}{2}, \infty)

Decimal Notation

x < - 5.5 or x > 2.5

Solution steps

∣ 2 x + 3 ∣ > 8

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 3 < - 8 or 2 x + 3 > 8

2 x + 3 < - 8 or 2 x + 3 > 8

x < - \frac{11}{2} or x > \frac{5}{2}

Popular Examples

simplify (3sqrt(6))/6 simplify

\frac{3 6}{6}

factor 121a^2-64b^2 factor

121 a^{2} - 64 b^{2}

simplify 5+(-3)simplify

5 + (- 3)

simplify ((1.9)/(1.3))^{1/4}-1 simplify

(\frac{1.9}{1.3})^{\frac{1}{4}} - 1

x^{2} + 10 x - 414 = 0

Frequently Asked Questions (FAQ)

What is |2x+3|>8 ?
The solution to |2x+3|>8 is x<-11/2 \lor x> 5/2