Question

Determine the type of boundary line and shading for the graph of the inequality y 2x + 6

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

y ? 2x + 6 which inequality is that?

Answer 2

< with the line under it @AriPotta

Answer 3

\[y \le 2x + 6 \]

Answer 4

yes sir thats it @AriPotta

Answer 5

ok, so we know it's going to be a solid line because it's less than or equal to

Answer 6

the origin is (0,0) right?

Answer 7

so just substitute the for the y and x in our inequality

Answer 8

yessir @AriPotta

Answer 9

substitute that*

Answer 10

is 0 less than or equal to 2(0) + 6?

Answer 11

idk :( im confused on this one

Answer 12

what's 2 x 0?

Answer 13

0

Answer 14

we need to see if this is correct:
\[0 \le 2(0) + 6\]

Answer 15

\[0 \le 0 + 6\]

Answer 16

is this true?

Answer 17

is 0 less than/equal to 6?

Answer 18

less than

Answer 19

yea, so it's true.

Answer 20

if it's true, then we know that the side that includes (0,0) is shaded

Answer 21

so it does include the origin...

Answer 22

so its a

Answer 23

no...because earlier, we said that it would be a solid line, remember?

Answer 24

oh right true so d

Answer 25

yep

Answer 26

yeesss thank you i have more @AriPotta are you willing tohelp