Question

Which system of linear inequalities is represented by the graph?

x – 3y > 6 and y > 2x + 4
x + 3y > 6 and y > 2x – 4
x – 3y > 6 and y > 2x – 4
x + 3y > 6 and y > 2x + 4

Answer 1

So the answer is D

Explanation:

Answer 2

The blue line has a slope of 2 and a y-intercept of +4. Its equation is
y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
y ≥ 2x + 4

The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
y > -1/3x + 2
or
x +3y > 6

The graph seems to represent the inequalities
x +3y > 6 and y ≥ 2x +4