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

Case: Inequality

Method:

Option (A) (1, -5)

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

Option (B) (-3, -3)

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

Option (C)