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Popular >

|2x+1|-1>3

Solution

∣ 2 x + 1 ∣ - 1 > 3

Solution

x < - \frac{5}{2} or x > \frac{3}{2}

+2

Interval Notation

(- \infty, - \frac{5}{2}) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < - 2.5 or x > 1.5

Solution steps

∣ 2 x + 1 ∣ - 1 > 3

Move

1

to the right side

∣ 2 x + 1 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

2 x + 1 < - 4 or 2 x + 1 > 4

2 x + 1 < - 4 or 2 x + 1 > 4

x < - \frac{5}{2} or x > \frac{3}{2}

Popular Examples

- 12 - 2 = 4 u - 6 u

simplify-5sqrt(160)-5sqrt(160)simplify

- 5160 - 5160

- 4 n + 2 n = - 12

3 q + 1 \leq 10

simplify (6^{2/3})^{1/2}simplify

(6^{\frac{2}{3}})^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

What is |2x+1|-1>3 ?
The solution to |2x+1|-1>3 is x<-5/2 \lor x> 3/2