Question

Determine the type of boundary line and shading for the graph of the inequality 5x + y greater than or equal to −10. (5 points)

Answer 1

The correct answer is d. Solid line with shading on the side that includes the origin

We can tell this for two reasons. Firstly, since it is "greater than or equal to" we use a solid line. If it were just "greater than" than we would have used a dotted line.

Secondly, to tell if the origin should be shaded is by plugging in (0,0) and seeing if it is a true statement. If it is true, it is shaded.

5x + y ≥ -10

5(0) + 0 ≥ -10

0 + 0 ≥ -10

0 ≥ -10 (TRUE)