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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