# How do you solve 1/3(4x+3)>=2/3x+2?

May 7, 2017

You may multiply by a positive number, say $3$:

#### Explanation:

$\cancel{3} \times \frac{1}{\cancel{3}} \left(4 x + 3\right) \ge \cancel{3} \times \frac{2}{\cancel{3}} x + 2 \to$

$4 x + 3 \ge 2 x + 2 \to$ now subtract $2 x$

$4 x - 2 x + 3 \ge \cancel{2 x} - \cancel{2 x} + 2 \to$ now subtract $3$

$2 x + \cancel{3} - \cancel{3} \ge 2 - 3 \to 2 x \ge - 1 \to x \ge - \frac{1}{2}$
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