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

How would you graph the line x = 4?

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

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

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

x = 4 is exactly the line you described.

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

Would it include that line?

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

no polpak..would be my guess..

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

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.

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

must be the time of day. :P

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.

I'll try and remember that. :)

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