Question

The graph below shows the solution to which system of inequalities?

Answer 1

B.

`y \leqslant 3x \: and \: y \: > \: (1)/(4)x + 4`

Explanation:

The boundary line passing the origin has equation:

`y = 3x`

Since the lower half plane is shaded and the boundary line is solid, the corresponding linear inequality is:

`y \leqslant 3x`

The dashed line has equation,

`y = (1)/(4)x + 4`

Since the upper half plane is shaded, it is corresponding inequality is

`y < (1)/(4)x + 4`