Question

Determine the type of boundary line and shading for the graph of the inequality 5x + 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

@jim_thompson5910

Answer 2

there's a line under the >, so are we dealing with a dashed or a solid line?

Answer 3

solid

Answer 4

good

Answer 5

so that rules out A and C

Answer 6

so we're left with B and D

Answer 7

to find out if the origin is in the shaded/solution region, plug in x = 0 and y = 0. If you get a true statement or inequality, then the origin (0,0) is in the shaded region

Answer 8

B?

Answer 9

what do you get when you plug x = 0 and y = 0 into 5x + y >= -10

Answer 10

5*0 + 0 >= -10

Answer 11

then simplify the left side

Answer 12

0

Answer 13

so

5*0 + 0 >= -10

becomes

0 >= -10

Answer 14

so its D.... it does include it

Answer 15

yes because 0 >= -10 is true