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Popular >

2x^2>x+3

Solution

2 x^{2} > x + 3

Solution

x < - 1 or x > \frac{3}{2}

+2

Interval Notation

(- \infty, - 1) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < - 1 or x > 1.5

Solution steps

2 x^{2} > x + 3

Rewrite in standard form

2 x^{2} - 3 - x > 0

Factor

2 x^{2} - 3 - x : (x + 1) (2 x - 3)

(x + 1) (2 x - 3) > 0

Identify the intervals

x < - 1 or x > \frac{3}{2}

Popular Examples

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(x - 1) (4 - x) \cdot (x - 5)^{2} < 0

(2 x + 1) \cdot e^{4} x < 0

x^{4} - 4 x^{2} < 0

Frequently Asked Questions (FAQ)

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