Question

Determine the type of boundary line and shading for the graph of the inequality y < 2x + 4

a. Dashed line with shading on the side that includes the origin.

b. Solid line with shading on the side that does not include the origin.

c. Dashed line with shading on the side that does not include the origin.

D. Solid line with shading on the side that includes the origin.

Answer 1

i think its C.

Answer 2

y will not equal 2x + 4 so you can't include any points on the line. So the line is dotted.

then to test the shading pick a point on the number plane... say (0, 0)

substitute it into the inequation and solve

is

0 < 0 + 4................... if its true (0, 0) is in the region to be shaded...

hope it helps