Question

Which of the following is a solution to this inequality? y > 1/2x + 2this is not part of a test, just a review :)

Answer 1

Let's evaluate every pair of points:

$\begin{gathered} y>\frac{1}{2}x+2 \\ (1,4) \\ 4>\frac{1}{2}+2 \\ 4>\frac{5}{2} \\ \text{this is true} \\ ------------------ \\ (-1,1) \\ 1>-\frac{1}{2}+2 \\ 1>\frac{3}{2} \\ \text{this is false} \\ ---------- \\ (2,3) \\ 3>1+2 \\ 3>3 \\ \text{this is false} \\ ------- \\ 2>0+2 \\ 2>2 \\ \text{this is false} \end{gathered}$