Question

PLZ HELP ME

The graph shows the solution to which system of inequalities?

A) y < -2x + 4 and y < 2x + 4

B) y < -2x + 4 and y ≤ 2x + 4

C) y > -2x + 4 and y ≤ 2x + 4

D) y ≤ -2x + 4 and y ≤ 2x + 4

Answer 1

see below

Explanation:

The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...

y < -2x +4 . . . . . . note that the < symbol has no "or equal to"

The solid line has positive slope, so its inequality is ...

y ≤ 2x +4

Both these inequalities are found in choice B.