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Popular >

|2x+4|>5

Solution

∣ 2 x + 4 ∣ > 5

Solution

x < - \frac{9}{2} or x > \frac{1}{2}

+2

Interval Notation

(- \infty, - \frac{9}{2}) \cup (\frac{1}{2}, \infty)

Decimal Notation

x < - 4.5 or x > 0.5

Solution steps

∣ 2 x + 4 ∣ > 5

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 4 < - 5 or 2 x + 4 > 5

2 x + 4 < - 5 or 2 x + 4 > 5

x < - \frac{9}{2} or x > \frac{1}{2}

Popular Examples

∣ 11 y - 2 ∣ \geq - 17

\frac{- 5 + x}{22} = - 1

simplify 9^5 simplify

9^{5}

factor 2y^3+20y-56 factor

2 y^{3} + 20 y - 56

simplify (-2xy^2)^5((x^7)/(8y^3))simplify

(- 2 x y^{2})^{5} (\frac{x ^{7}}{8 y ^{3}})

Frequently Asked Questions (FAQ)

What is |2x+4|>5 ?
The solution to |2x+4|>5 is x<-9/2 \lor x> 1/2