Question

How would you graph the inequality x< 4? How do you graph it without a y?

Answer 1

How would you graph the line x = 4?

Answer 2

What points (h,k) are valid solutions to x = 4?

Answer 3

++++++++ 4 ---------------

Answer 4

So would the line just be going down vertically through 4, on the x axis?

Answer 5

x = 4 is exactly the line you described.

Answer 6

Now imagine you wanted to graph all the points where x < 4 ?

Answer 7

Would it include that line?

Answer 8

if you are graping in one dimension it is what i wrote. in two you would draw a vertical line x = 4 and shade to the left

Answer 9

no polpak..would be my guess..

Answer 10

Right. You want all the points where x < 4. So you would have any point (h,k) where h is less than 4.

Answer 11

To graph this you would shade the region to the left of the line x = 4, and indicate that line with a dotted or dashed style to show that the solutions don't include that line.

Every point in the shaded region has an x value less than 4 and it doesn't matter what the y value is.

Answer 12

thanks polpak...not sure why no presence of a y threw me off there...

Answer 13

must be the time of day. :P

Answer 14

When dealing with inequalities it's often best to compare the meaning with that of a standard equality. Then see how the two are related.

Answer 15

I'll try and remember that. :)