# Mathematical Operators

**Inequalities: Concept***> Greater than**< Less than**â‰¥ Greater than or equal to**â‰¤ Less than or equal to**= equal to***Combining Inequalities***If A > B and B > C then we can say*â†’*Combined form**If A â‰¥ B and B â‰¥ C*â†’*Then we can say**Combined form***Order of Preference***The preference order is: (1) >, < (2) â‰¥, â‰¤**i.e. If A > B â‰¥ C, then A > C, âˆ´ while moving from A to C, we encounter â€˜>â€™ sign and â€˜â‰¥â€™ sign the preference is to be given to the â€˜>â€™ sign similarly, If â€˜<â€™ and â€˜â‰¤â€™ sign appear together, then preference will be given to the â€˜<â€™ sign.**So, if A < B â‰¤ C, then A < C***Solved Example:**- A â‰¥ B > C A > C
- A â‰¤ B â‰¤ C A â‰¤ C
- A < B â‰¤ C A < C
- A > B â‰¥ C A > C
- A â‰¥ B â‰¥ C A â‰¥ C
- If the direction of sign changes, then no relationship can be established.
**X > Y â‰¥ Z â‰¥ Q**, then we can safely say X > Z, X > Q and Y â‰¥ Q, âˆµ the signs are in the same direction i.e.**>, â‰¥, â‰¥.****X > Y â‰¤ Z â‰¥ P > Q**__<__, â‰¥)

**â€˜Either orâ€™ case**