INEQUALITIES

INEQUALITIES :

1. > First element is Greater than the Second Element.

2. < First element is Smaller than the Second Element.

3. = First element is Equals to Second element.

4. ≥ The first element is Greater than or Equals to the Second Element.

5. ≤ The first element is Smaller than or Equals to the Second Element.

6. ≠ The first element is either greater than or smaller than the Second Element.

Two signs opposite to each other will make the conclusion wrong. But again if the signs are in the same manner that will not make it wrong.

Example :

If A > B < C > D then A < C is False , C > A is False. But If E > F > G > H then E > G is True, F > H is True, E > H = True.

If A ≥ B ≤ C then A ≤ C = False, 

C ≥ A = False. But

If A ≥ B ≥ C then A ≥ C = True , 

C ≤ A = True

Points to Remember :

1.A > B > C

2.A > B ≥ C

3.A ≥ B > C

4.A = B > C

5.A > B = C

From the All above statement we conclude that conclusion is A>C

1. A < B < C

2.A < B ≤ C

3.A ≤ B< C

4.A = B < C

5.A < B = C

From the All above statement we conclude that conclusion is A< C

1. A ≥ B ≥ C

2. A = B ≥ C

3. A ≥ B = C

From the All above statement we conclude that conclusion is A≥C(Either A>C or A=C)

1. A ≤ B ≤ C

2. A = B ≤ C

3. A ≤ B = C

From the All above statement we conclude that conclusion is A ≤ C (Either A < C or A = C)

1. A < B > C

2.A ≤ B> C

3.A < B≥ C

4.A > B < C

5.A > B ≤ C

6.A ≥ B < C

From the All above statement we conclude that conclusion is that,

Either 1 or 2 follows if any of the following cases (a, b, c and d) are given as they form a complementary pair.

a) 1. A > C     2. A ≤ C

b) 1. A ≥ C     2. A < C

c) 1. A < C     2. A ≥ C

d) 1. A ≤ C      2. A > C