Select the inequality that corresponds to the given graph. graph of an inequality with a dashed line through the points negative 2 comma 0 and 0 comma 4 and shading above the line 2x - 5y -10 x - y 3 2x - y

Question

Select the inequality that corresponds to the given graph.

graph of an inequality with a dashed line through the points negative 2 comma 0 and 0 comma 4 and shading above the line 

 2x - 5y  -10 

 x - y > 3 

 2x - y < -4 

 x + 2y  -8

mathstudent55 · Answer

What are choices 1 and 4? You left out the inequality sign.

anonymous · Answer

$$2x - 5y \ge  -10 $$

anonymous · Answer

$$x + 2y  \ge -8 $$

mathstudent55 · Answer

Ok, thanks.
The dashed line goes through (-2, 0) and (0, 4)
Its slope is: (0 - 4)/(2 - 0) = -4/-2 = 2
Its equation is: y - 0 = 2(x + 2)
y = 2x + 4
2x - y = -4
Answer can only be 2x - y < -4 or 2x - y > -4