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Popular >

2x^2+5x<12

Solution

2 x^{2} + 5 x < 12

Solution

- 4 < x < \frac{3}{2}

+2

Interval Notation

(- 4, \frac{3}{2})

Decimal Notation

- 4 < x < 1.5

Solution steps

2 x^{2} + 5 x < 12

Rewrite in standard form

2 x^{2} + 5 x - 12 < 0

Factor

2 x^{2} + 5 x - 12 : (2 x - 3) (x + 4)

(2 x - 3) (x + 4) < 0

Identify the intervals

- 4 < x < \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is 2x^2+5x<12 ?
The solution to 2x^2+5x<12 is -4<x< 3/2