Question

For each ordered pair (x,y) determine whether it is a solution to the inequality y<4

Answer 1

We have an ordered pair (x,y) which we must evaluate for the inequality:

$y<4$

To solve this, we have to replace the variable "y" in the inequality and check if it is true or not.

First-order pair

$\begin{gathered} (4,7) \\ y<4 \\ 7>4 \end{gathered}$

This is not a solution to inequality.

Second-order pair

$\begin{gathered} (5,-4) \\ y<4 \\ -4<4 \end{gathered}$

This is a solution to inequality.

Third-order pair

$\begin{gathered} (-8,4) \\ y<4 \\ 4=4 \end{gathered}$

This is not a solution to inequality.

Fourth-order pair

$\begin{gathered} (-3,9) \\ y<4 \\ 9>4 \end{gathered}$

This is not a solution to inequality.

Finally, we have that the only solution to inequality is:

$(5,-4)$