1. How do you find an inequality on a graph?
That's a little too vague a question. It would depend on the
graph and what you mean by "finding an inequality on a graph".
2. If the inequality has a fraction in it, what do I do?
If the denominator of the fraction does not contain a variable,
then multiply through by it. If it is a positive number you leave
the inequality symbol as it is, but if it is a negative number
you are multiplying by, then you must reverse the symbol of
inequality.
3. How do you know where to shade on a graph with inequality lines?
Like how do you know whether you shade for less than or greater than?
There are two methods:
A. Choose any point above or below the line (but NOT a point on the
line!) and substitute the x- and y-coordinates for x and y in
the inequality and simplify. If the simplified inequality is TRUE,
then shade the entire side of the line which the test point is on.
If the simplified inequality is FALSE, then shade the OPPOSITE side
of the line than the side which the test point is on.
B. Solve the inequality for either x or y.
If you end up with "x > something" or "x > something", then
shade the side which is RIGHT of the line.
If you end up with "x < something" or "x < something", then
shade the side which is LEFT of the line.
If you end up with "y > something" or "x > something", then
shade to the side which is ABOVE the line.
If you end up with "y < something" or "x < something", then
shade the side which is BELOW the line.
Either method will result in the correct shading.
Edwin