Question

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

Since the function is strictly less than (or greater than), the line itself will not be included in the solution. Solid lines (and dots) mean "includes", dotted lines (and open dots) mean "not included"

Answer 2

For the rest, you need to get the equation in the slope intercept form: y = mx + b. "b" is the y-intercept. You will also know the slope. So see if you can get it into slope intercept form (get y by itself)

Answer 3

srry still not sure how to though

Answer 4

You have to isolate y. Try it. What is the first step?

Answer 5

isnt it you have to subtract 4 to both sides?

Answer 6

To get y by itself, add 4x to both sides.

Answer 7

ok

Answer 8

Now what have you got?

Answer 9

4x - y < -6
+4 +4
-y < 2

Answer 10

i mean y < -2

Answer 11

You have to take the 'x' with it.