Question

Determine the type of boundary line and shading for the graph of the inequality y < 2x + 6
A) Dashed line with shading on the side that includes the origin.
B) Solid line with shading on the side that does not include the origin.
C) Dashed line with shading on the side that does not include the origin.
D) Solid line with shading on the side that includes the origin.

Answer 1

You can eliminate two right off the bat. Since it is less than and not less than or equal to, it cannot be a solid line. A solid line means that the line is part of the solution. In this case it is not.

Answer 2

ok so its A or C?

Answer 3

When x is 0, what is y?

Answer 4

i dont know ): but isnt the answer A?

Answer 5

It is A, but it's important that you see why.
When you plug 0 in for x, you see that the inequality is y < 6. Since the origin (0) is less than 6, it is included in the solution. So you are shading the region that includes the origin.

Answer 6

qpHalcy0n is right!

Answer 7

oh...... ok! That makes sense!! Thanks so much

Answer 8

Np.

Answer 9

Determine the type of boundary line and shading for the graph of the inequality -4x - y > -6
A) Dashed line with shading on the side that includes the origin.
B) Solid line with shading on the side that does not include the origin.
C) Dashed line with shading on the side that does not include the origin.
D) Solid line with shading on the side that includes the origin.


so wouldent this one be C?

Answer 10

hmm... no! here is the reason why!

Answer 11

lets try to solve for y
-4x - y > -6
-y > 4x - 6
Here, you got to be careful! When you divide both sides buy a negative number, the sign of the inequality changes!
so, it will be y < -4x + 6!
Now, do you know how the graph looks?