Question

how would I graph and shade x > 4 and y ≤ -1 thanks!

Answer 1

First off we would start with graphing x=4 and y=-1

Answer 2

And then we make the line solid or dotted depending on whether it is \(\le\) or \(\ge\) and \(<\) and \(>\)

And then we can just choose a test point in a region and if the test point works for the line that is the side that gets shaded.

Answer 3

im confused on what the graph would look like with these points?

Answer 4

Can you graph x=4 and y=-1 first?

Answer 5

Are these two separate problems or 1 problem?

Answer 6

just 1 problem

Answer 7

Ok :)

Answer 8

So would x=4 be a vertical or a horizontal line?

Answer 9

horizontal

Answer 10

Are you sure?

Answer 11

I thought it was lol

Answer 12

Well here is a way to remember. Horizontal is similar to horizon. And the horizon is like __________

That type of line ^

And remember x=4 would mean that any y-value x will equal to 4. So the points can be (4,0) , (4,2), (4,-3) , and so in.

So basically x=4 would be a vertical line.

Answer 13

ok I got it for this question would there be any calculations?

Answer 14

Nope. No calculations involved.

Answer 15

Is that all? :)

Answer 16

awesome! what solution set would I shade for these two plots?

Answer 17

I mean what would the shading look like if these two lines were graphed?

Answer 18

whewhere would the shading go?

Answer 19

ok so for x>4 draw a line up and down (vertical) from the number 4 on the x axis, then shade everything to the right of the line that you drew.
for y ≤ -1 draw a horizontal line from -1 on the y-axis all the way across and shade everything under the line

Answer 20

x>4 is a dotted line

Answer 21

not a solid line