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Popular >

2x^2>3x

Solution

2 x^{2} > 3 x

Solution

x < 0 or x > \frac{3}{2}

+2

Interval Notation

(- \infty, 0) \cup (\frac{3}{2}, \infty)

Decimal Notation

x < 0 or x > 1.5

Solution steps

2 x^{2} > 3 x

Rewrite in standard form

2 x^{2} - 3 x > 0

Factor

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

x (2 x - 3) > 0

Identify the intervals

x < 0 or x > \frac{3}{2}

Popular Examples

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-8x^4+6x^2+5<= 0

- 8 x^{4} + 6 x^{2} + 5 \leq 0

(((x+7)^2))/(((3+x)(2-x)))>= 0

\frac{( ( x + 7 ) ^{2} )}{( ( 3 + x ) ( 2 - x ) )} \geq 0

(4(x^2+2))/((x^2-1))<-2

\frac{4 ( x ^{2} + 2 )}{( x ^{2} - 1 )} < - 2

(x - 5)^{3} + 9 \geq 10

Frequently Asked Questions (FAQ)

What is 2x^2>3x ?
The solution to 2x^2>3x is x<0\lor x> 3/2