Question

Select the system of linear inequalities whose solution is graphed.

y ≤ x – 1; x ≤ 1


y ≤ x + 1; y ≤ 1


y < x + 1; y < 1


y < x – 1; y ≤ 1

Answer 1

y ≤ x + 1; y ≤ 1

Explanation:

The horizontal line has the form y = b. Since it is an inequality with a solid line, it will be y ≥ b or y ≤ b. Here b is the y-intercept which is 1. So the equation is y≤1 or y≥ 1.

The solid diagonal line has a y-intercept at 1 and a slope of 1. So the equation is y ≥ x + 1 or y ≤ x + 1.

The solution which has the right combination is y ≤ x + 1; y ≤ 1.