The solution to 3x>4x^2 is 0<x< 3/4

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3x>4x^2

Solution

3 x > 4 x^{2}

0 < x < \frac{3}{4}

Interval Notation

(0, \frac{3}{4})

Decimal Notation

0 < x < 0.75

Solution steps

3 x > 4 x^{2}

Rewrite in standard form

3 x - 4 x^{2} > 0

Factor

3 x - 4 x^{2} : - x (4 x - 3)

- x (4 x - 3) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (4 x - 3)) (- 1) < 0 \cdot (- 1)

Simplify

x (4 x - 3) < 0

Identify the intervals

0 < x < \frac{3}{4}

5 x^{2} - 80

e^{- (0.0283 \cdot 14 \cdot \frac{60}{1})}

lo g_{3} (21) = x - 1

2 z^{2} - 7 z - 9

8 x - 4 x + 4 < 2 (x + 6)