Question

Determine whether each ordered pair is a solution to the inequality y

Answer 1

To determine the ordered pair that is a solution to the inequality y < x - 3,

we test the ordered pair and see the one that satisfies the inequality.

(-9,-3)

[tex]\begin{gathered} \text{when x = -9},\text{ y =-3} \\ yTherefore, (-9,-3) is not a solution to the inequality

(4,-10)

[tex]\begin{gathered} \text{when x = 4},\text{ y =-}10 \\ yTherefore, (4,-10) is a solution to the inequality

(5,4)

[tex]\begin{gathered} \text{when x = 5},\text{ y =}4 \\ yTherefore, (5,4) is not a solution to the inequality

(2,3)

[tex]\begin{gathered} \text{when x = 2},\text{ y =3} \\ yTherefore, (2,3) is not a solution to the inequality

(-5,5)

[tex]\begin{gathered} \text{when x = -5},\text{ y =}5 \\ yTherefore, (-5,5) is not a solution to the inequality

Also using an inequality graph, as shown below;

It could be seen from the graph that the solution to the inequality will only exist for values of x greater than 3. Any value of x less than 3 is outside the solution. Also, the solution lies at values of y lesser than -3. Any value of y greater than -3 is outside the solution.

Therefore, from the above illustrations, we can see the correct answer that is an ordered pair to the inequality that satisfies both conditions is (4,-10)