here we look at only the rules without

Question

Here we look at only the rules without going into their proofs. They are:

1. a < b, if and only, if b - a > 0.

2. If a < b and b < c, then a < c.

3. If a < b, then (a + c) < (b + c).

4. If a < b, then -a > -b.

5. If a < b and

1. x = 0, then ax = bx

2.  x < 0, then ax > bx

3. x > 0, then ax < bx

      6. If 0 < a < b, then 0 < 1/b < 1/a.