Question

Which point would not be a solution to the system of linear inequalities shown
below?

Answer 1

(5, 8)

Explanation:

A solution to a system of linear inequalities is a point that, when its x and y values are substituted into both inequalities, makes both of them true. (Knowing this, if a point makes one inequality true but not the other, it is not a solution to that specific system of linear inequalities.)

So, let's plug in the x and y values of (5, 8) into the inequality y > 3x - 7 and solve like so:

`(8) > 3(5) - 7 \\8 > 15 - 7 \\8 > 8`

However, 8 is equal to 8, not greater than it. So, we know that this point is not a solution to this inequality since it does not make it true, therefore (5, 8) is not a solution to the whole system.

Hope this helps!