Question

Which of the following points satisfies the inequality y>1/3x-2 and indicates which side of the inequality should be shaded?

Answer 1

SOLUTION:

Case: Inequality

Method:

Option (A) (1, -5)

$\begin{gathered} y>\frac{1}{3}x-2 \\ -5>\frac{1}{3}(1)-2 \\ -5>\frac{1}{3}-2 \\ -5>-\frac{5}{3}\text{ }(False) \end{gathered}$

Option (B) (-3, -3)

$\begin{gathered} y>\frac{1}{3}x-2 \\ -3>\frac{1}{3}(-3)-2 \\ -3>-1-2 \\ -3>-3\text{ }(False) \end{gathered}$

Option (C)