Question

Determine the type of boundary line and shading for the graph of the inequality -5x - y -2

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 th

Answer 1

Correction -5x- y <= -2

Answer 2

y>=-5x+2

Answer 3

Solid line not including the origin

Answer 4

B

Answer 5

the sign <= implies a solid line

solve for y to get y >= -5x+2, this implies the shading goes above the line

Now plug in (0,0) to get 0 >= -5(0)+2 ----> 0 >= 2. This is false, so (0,0) is NOT in the shaded region.