Which ordered pair is a solution of the system of equations?

Question

x≥2

y≤3

x+y>4

Answer 1

Hi Talon,

You have three restrictions. The first, x ≥ 2 says that all x coordinates must be 2 or to the right of 2. That creates region to the right of x = 2 and including the vertical line x = 2.

The second, y ≤ 3 says that all the y coordinates must be at or below the horizontal line y = 3.

The third, x + y > 4 says that the points are all above the slanted line with slope -1 and y intercept 4.

All three together result in a three sided region with corners at (2, 3) and (2, 2).

An example of a point that satisfies all three conditions is (10, 0)