Question

The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y ≤ −2x + 10 y > 1 over 2x − 2

Answer 1

A, C, D and K

Explanation:

First, plot the solution set to the system of two inequalities.

The inequality
`y\le -2x+10` determines solid line and bottom shaded region under this line.

The inequality
`y>(1)/(2)x-2` determines dotted line and top shaded region under this line.

The intersection of these two regions is the solution set to the system of two inequalities.

Points A, C, D and K belong to this region.