Question

Is each ordered pair a solution of the inequality? $$x+y>-3 ;(0,0),(-6,3)$$

Short answer

The ordered pair (0, 0) is a solution of the inequality, while the ordered pair (-6,3) is not.

Step-by-step solution

Substitute first pair

Substitute the first ordered pair (0,0) into the inequality in place of \(x\) and \(y\). So, \(0 + 0 > -3\) simplifies to \(0 > -3\). This statement is True, so the first ordered pair (0,0) is a solution of the inequality.

Substitute second pair

Next, substitute the second pair (-6,3) into the inequality in place of \(x\) and \(y\). So, \(-6 + 3 > -3\) simplifies to \(-3 > -3\). This statement is not true as -3 is equal to -3, not greater than -3. Therefore, the second ordered pair (-6,3) is not a solution of the inequality.