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Popular >

|2x+1|-1>2

Solution

∣ 2 x + 1 ∣ - 1 > 2

Solution

x < - 2 or x > 1

+1

Interval Notation

(- \infty, - 2) \cup (1, \infty)

Solution steps

∣ 2 x + 1 ∣ - 1 > 2

Move

1

to the right side

∣ 2 x + 1 ∣ > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 1 < - 3 or 2 x + 1 > 3

2 x + 1 < - 3 or 2 x + 1 > 3

x < - 2 or x > 1

Popular Examples

factor x^2-4xy-5y^2 factor

x^{2} - 4 x y - 5 y^{2}

simplify (3/4)^1 simplify

(\frac{3}{4})^{1}

factor 9xy+12yz-3y factor

9 x y + 12 yz - 3 y

x^{2} + 6 x = 1

simplify ((1.6)/(-0.1+1.6))*100 simplify

(\frac{1.6}{- 0.1 + 1.6}) \cdot 100

Frequently Asked Questions (FAQ)

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