Learning how to rearrange and graph equations.

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To rearrange the equations, it is best to remember the rules for inequalities:

1) if a < b, then a+c < b+c
- this basically says if you add something to both sides the
inequality will hold
2) if a < b and c < d then a+c < b+d
- so this says that adding the two smaller numbers (a and c)
will be less then adding the two bigger numbers
3) if a < b and c > 0 then ac < bc
- so multiplying both sides of an inequality by a positive
number will keep the inequality the same
4) if a < b and c < 0 then ac > bc
...