Question

Determine the type of boundary line and shading for the graph of the inequality -5x - y < (line underneath) -2

Solid line with shading on the side that includes the origin.
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.

Answer 1

@Preetha

Answer 2

Part 1: Solve the inequality -3x + 4<(line under) x + 8 and show all of your work. You can use <= to represent the less than or equal to symbol.
Part 2: Use complete sentences to describe the graph of the solution from Part 1.

Answer 3

So the problem is "-5x - y is less than or equal to -2"
I like to break this down.
Because it has an equal component, you know it'll be a solid line.
That eliminates two of the choices right off the bat! :-)
Then work with the origin information. The origin is (0,0). So put in 0 for the x value and 0 for the y value and see if the statement is true or false.
Here we go:
-5(x) - (y) is less than or equal to -2
-5(0) - (0) is less than or equal to -2
0 - 0 is less than or equal to -2
0 is less than or equal to -2

That's FALSE. So the origin (0,0), where x and y are both the values 0, should not be included in the shaded part.

I say the answer is the third statement. :-)

Answer 4

thanks abcabc again (: