# How do you solve m/4+2<3 and graph the solution?

Dec 20, 2016

$m < 4$

#### Explanation:

The first thing to do is ' eliminate' the fraction by multiplying ALL terms on both sides of the inequality by 4

${\cancel{4}}^{1} \times \frac{m}{\cancel{4}} ^ 1 + \left(4 \times 2\right) < \left(4 \times 3\right)$

$\Rightarrow m + 8 < 12 \leftarrow \text{ no fraction}$

subtract 8 from both sides.

$m \cancel{+ 8} \cancel{- 8} < 12 - 8$

$\Rightarrow m < 4 \text{ is the solution}$

The solution can be shown on a number line, by placing an $\textcolor{b l u e}{\text{open circle}}$ ◯ at 4 to indicate that x ≠ 4 with an 'arrow head' on a line going to the left from 4.

$\text{-------------------------------------⬅︎4◯-------------------------}$