Question

Select the system of linear inequalities whose solution is graphed.

x ≥ –3; y ≥ x – 2


x > –3; 5y ≥ –4x – 10


x > –3; y ≥ –x + 1


x > –2; y ≥ –x – 1

Answer 1

x > –3; 5y ≥ –4x – 10

Explanation:

The dashed vertical line is the inequality x > -3 or x < -3. All vertical lines have the form x = a. Since it is dashed then the sign must be < or >.

The solid line has a y-intercept at -2 and a slope of -4/5. This means it must be the equation y ≥ -4/5x -2 or y ≤ -4/5x - 2. This is the same equation as 5y ≥ -4x - 10.

So the solution is x > –3; 5y ≥ –4x – 10.