Question

18) A Foot Locker employee needs to decide how many shoes to put on display. The store manager wants the number of sneakers on display to be at least four less than the number of boots on display. The store employee represents this restriction as y > x-4, where x is the number of boots, and y is the number of sneakers on display. Write 3 sets of coordinates that would solve the inequality for the number of sneakers and boots.

Answer 1

The inequality is:

$y>x-4$

Let's see what happens when x = 10

$\begin{gathered} y>x-4 \\ \rightarrow y>10-4 \\ \rightarrow y>6 \end{gathered}$

This way, any number greater than 6 will work for y.

Thereby, 3 sets of coordinates that would solve the inequality for the number of sneakers and boots are:

$\begin{gathered} (10,7) \\ (10,8) \\ (10,9) \end{gathered}$