Question

Have to slove and find out if (-1,3) is a solution

Answer 1

To solve the exercise, replace the ordered pair in the given inequality and check if a true or false statement is obtained.

If a true proposition is obtained, the point is a solution to the inequality.

If a false proposition is obtained, the point is not a solution to the inequality.

So, you have

`\begin{gathered} (-1,3) \\ \text{ Then} \\ x=-1 \\ y=3 \\ \text{ Replacing} \\ -x+y\ge4 \\ -(-1)+3\ge4 \\ 1+3\ge4 \\ 4\ge4 \\ \text{ True proposition} \end{gathered}`

Therefore, since a true proposition was obtained, then the point (-1,3) is a solution of the given inequality.