Question

Inequalities!

Answer 1

\[0 \le y < 4\]

Answer 2

How do you sketch?

Answer 3

@avrillavigne

Answer 4

what about x

Answer 5

{(x, y) | 0 ≤ y < 4}

Answer 6

That is the whole problem

Answer 7

well if x is undefined, I don't know

Answer 8

The directions say "sketch the region given by the set"

Answer 9

It is web assign

Answer 10

There is no restriction on x, so you need the portion of the plane where the restriction on y holds. So it is the region between the x-axis (solid line to include the boundary), and the line y=4 (dashed line, the boundary is not included).

Answer 11

May I ask for an example sketch?

Answer 12

Best I can do... lol.

Answer 13

Thanks, that makes sense.

Answer 14

So since the x is unrestricted, it goes on forever? @DebbieG

Answer 15

That is, on the neg and + sides?

Answer 16

Yes, the horizontal "strip" across the whole plane, from x = neg infinity to x= infinity.

Answer 17

The reason is that the inequality has nothing to do with x. There is no restriction on the value of x, only on the values of y. So every point in that "strip" satisfies the inequality... regardless of its x-coordinate.

Answer 18

Thanks!

Answer 19

no problem. :) happy graphing!

Answer 20

@DebbieG
I know you helped me with this yesterday, but I have to submit this online. The choices I have are a line with arrows on both sides, or a line with a dot on one side and an arrow on the other. Which line should I use for the y=0 and y=4?