Question

which ordered pair is in the solution set of the system of linear inequalities?
y > \frac{3}{2}x - 1
y < \frac{3}{2}x - 1
graph of the system of inequalities

Explanation:

Step1: Analyze the inequalities

We have a system of inequalities: \( y > \frac{3}{2}x - 1 \) and \( y < \frac{3}{2}x - 1 \). A number cannot be both greater than and less than another number at the same time. So, there is no ordered pair that satisfies both inequalities simultaneously.

Answer:

There is no ordered pair in the solution set of this system of linear inequalities because a value of \( y \) cannot be both greater than and less than \( \frac{3}{2}x - 1 \) for the same \( x \).