Question

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

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

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

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

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

Answer 1

\[5x+y\ge-10\implies y\ge-5x-10\]
1. since it is greater than or equal to, the line is "solid"
2. (0,0) satifies the ineqality and hence is included in the shaded region

Answer 2

huh?

Answer 3

Would it be D?

Answer 4

those are the two conclusions that can be drawn from the given inequality.
which option satisfies them?

Answer 5

yes. D