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Popular >

2|x+2|-3>5

Solution

2 ∣ x + 2 ∣ - 3 > 5

Solution

x < - 6 or x > 2

+1

Interval Notation

(- \infty, - 6) \cup (2, \infty)

Solution steps

2 ∣ x + 2 ∣ - 3 > 5

Move

3

to the right side

2 ∣ x + 2 ∣ > 8

Divide both sides by

2

∣ x + 2 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

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

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

x < - 6 or x > 2

Popular Examples

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35 x^{3} y^{2} - 40 x^{2} y^{2}

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ln (x) + ln (y)

- 3 x + 1 > - 4 x + 11

simplify (x/y)*((xz)/y)*((yz)/x)simplify

(\frac{x}{y}) \cdot (\frac{x z}{y}) \cdot (\frac{yz}{x})

9 x = 5

Frequently Asked Questions (FAQ)

What is 2|x+2|-3>5 ?
The solution to 2|x+2|-3>5 is x<-6\lor x>2