Question

3y+12<6xwhich order pair is a solution of the inequality

Answer 1

Given the inequality,

3y + 12 < 6x;

`\begin{gathered} Express\text{ the inequality in slope-intercept form,} \\ 3y<6x-12 \\ \text{Divide both sides by 3} \\ y<(6x-12)/(3) \\ y<(6x)/(3)-(12)/(3) \\ y<2x-4 \end{gathered}`

The graph is now shown as

Observe that there are several points that provides a solution to this inequality.

One solution is (4, 2)