Laws of Inequality
Inequality compares two values showing greater than or less than.
The following are the symbols used in inequality.
a > b a is greater than b
a < b a is less than b
a ≥ b a is greater than or equal to b
a ≤ b a is less than or equal to b
Theorems on inequalities
1. If a > 0, then -a < 0
2. a > b if and only if -a < -b
3. If a > b, c < 0 then ac < bc (the value of c is distributed to both
values.)
4. If a > b, c > d, then (a + c) > (b + d). ( The same with the rule no. 4 in
the laws of equality. Check laws of equality here.)
5. If a > b, c > d, and a, b, c, and d is greater than 0, then ac > bd.
( The same with the rule no. 5 in the laws of equality. Check laws of equality here.)
6. If a > 0, b > 0, a > b (a > b, if a = 8 which is greater than 0, 7 > b > 0)
then, 1 < 1
a b
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