Question

Determine the type of boundary line and shading for the graph of the inequality 3x + y >= 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

Since inequality includes =, then you want a solid line, since points on line are part of the solution.

(If you had inequality that was strictly greater than or strictly less than, then you'd use a dashed line)

When you replace plug in (0, 0) into inequality, you get:
0 - 0 >= -8
0 >= -8
which is true. So include the origin.

Answer: d. Solid line with shading on the side that includes the origin.

Answer 2

Nice, im reallly bad at these