Question

determine whether each ordered pair is a solution to the inequality

Answer 1

The given inequality is

$x+y>3$

To find the solution set, first, we graph the line x + y = 3.

Then, we evaluate the point (0,0) in the inequality

$\begin{gathered} x+y>3 \\ 0+0>3 \\ 0>3 \end{gathered}$

Given that 0 is not greater than 3, we deduct that the solution set is above the line.

Hence, the solution is all points above the line. The blue area represents all the solutions.