OpenStudy (anonymous):

Determine the type of boundary line and shading for the graph of the inequality -3x - y > -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.

6 years ago
jimthompson5910 (jim_thompson5910):

Solve for y. What do you get?

6 years ago
OpenStudy (hba):

Set x=0 to solve for y and set y=0 to solve for x and then plot...

6 years ago
OpenStudy (anonymous):

y<-3x-6

6 years ago
OpenStudy (hba):

you draw a solid boundary line when it is greater than or equal to or less than or equal to and a dashed boundary line when it is greater than or less than

6 years ago
jimthompson5910 (jim_thompson5910):

close, it's really y < -3x+ 6

6 years ago
OpenStudy (hba):

Plug in the point (0,0) to see if your inequality is true or false.

6 years ago
jimthompson5910 (jim_thompson5910):

Now graph y = -3x+6 That "less than" in y < -3x + 6 tells you to shade below the line The line is a dashed line because we're NOT including the boundary (since we don't have "or equal to" part thrown in)

6 years ago
OpenStudy (anonymous):

Dashed line with shading on the side that includes the origin. my bad hopefully

6 years ago
OpenStudy (anonymous):

ok

6 years ago
OpenStudy (hba):

wait! omg... the inequality is not true so we do not include the origin 0 is not greater than 4.. :)

6 years ago
jimthompson5910 (jim_thompson5910):

y < -3x+ 6 0 < -3(0)+ 6 0 < 0 + 6 0 < 6 So you include the origin

6 years ago
jimthompson5910 (jim_thompson5910):

since that last inequality is true

6 years ago
OpenStudy (anonymous):

ohhhhhhh ok

6 years ago
jimthompson5910 (jim_thompson5910):

I prefer graphing the line y = -3x+6, then shading below it

6 years ago
OpenStudy (anonymous):

ok

6 years ago
OpenStudy (anonymous):

bye

6 years ago