Determine the type of boundary line and shading for the graph of the inequality -4x - y ≤ -2

My answer is Solid line with shading on the side that includes the origin.
Am I right? :)

Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y ≤ -2

My answer is  Solid line with shading on the side that includes the origin.
Am I right? :)

johnweldon1993 · Answer

solid line...yes

includes origin? lets check this again...the origin is (0,0) right?
so

4x - y ≤ -2
4(0)  - 0 ≤ -2
0 ≤ -2

is this statement true?

anonymous · Answer

It's actually the other way round..
Notice the "≤" sign, what does that tell you?

jim_thompson5910 · Answer

Let's see if the origin is in the shaded region

-4x - y ≤ -2

-4(0) - 0 ≤ -2 ... plug in (0,0)

0 ≤ -2

If the last inequality is true, then the origin is in the shaded region

If the last inequalityis false, then the origin is NOT in the shaded region

anonymous · Answer

So would it be Solid line with shading on the side that does not include the origin?

johnweldon1993 · Answer

that would be correct!

anonymous · Answer

Thank you sooo  much! :)

johnweldon1993 · Answer

not a problem!