Question

Is (0,2) a solution to y > -4x + 2

Answer 1

We can check if (0,2) is a solution to the inequality by replacing x and y with the values 0 and 2 respectively and verifying if the inequality gives a valid result.

If it does, then (0,2) is a solution.

`\begin{gathered} x=0 \\ y=2 \\ y>-4x+2 \\ 2>-4\cdot0+2 \\ 2>0+2 \\ 2>2\longrightarrow\text{False} \end{gathered}`

As the result is not valid (2 is not greater than 2), then (0,2) is not a solution to the inequality.

Answer: No, i is not a solution.