Question

Determine the type of boundary line and shading for the graph of the inequality -2x - 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.

Answer 1

definitely a "dashed" line because you have \(<\) instead of \(\leq\)

Answer 2

if you want to know if it includes the origin, replace \(x\) and \(y\) by \(0\) and see if the inequality is true or not

Answer 3

So its with the origin?

Answer 4

is \(0<-6\) ?

Answer 5

0 is not less than - 6

Answer 6

@satellite i have never been able to get my head fully around this type of question, is the correct answer the 3rd option?

Answer 7

@satellite73

Answer 8

@satellite73 is that correct because 0 is not less than -6 it does not include the origin?

Answer 9

thanks