What is 3/4 q-2/3 q< 5/12 q-1/2 ?

The solution to 3/4 q-2/3 q 3/2

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3/4 q-2/3 q< 5/12 q-1/2

\frac{3}{4} q - \frac{2}{3} q < \frac{5}{12} q - \frac{1}{2}

q > \frac{3}{2}

Interval Notation

(\frac{3}{2}, \infty)

Decimal Notation

q > 1.5

Solution steps

\frac{3}{4} q - \frac{2}{3} q < \frac{5}{12} q - \frac{1}{2}

Move

\frac{5}{12} q

to the left side

- \frac{1}{3} q < - \frac{1}{2}

Multiply both sides by

- 1

\frac{1}{3} q > \frac{1}{2}

Multiply both sides by

3

q > \frac{3}{2}

5200

2 x + 2 = 10

9 x^{2} + 8 x - 1 = 0

(- 2 + 3 i)^{2}

\frac{x ^{2} - y ^{2}}{x - y}

What is 3/4 q-2/3 q< 5/12 q-1/2 ?
The solution to 3/4 q-2/3 q< 5/12 q-1/2 is q> 3/2