|Class 11 Maths Mathematical Reasoning||Implications|
Implications : “if-then”, “only if”
If then: Sufficient condition
If food is Sandwich, then Rohit will eat food
If food is Burger, then Rohit will eat food
If food is Pizza, then Rohit will eat food
Only if: Necessary condition
Only if Rohit ate food, food is Sandwich.
Only if Rohit ate food, food is Burger.
Only if Rohit ate food, food is Pizza.
Sufficient is inverse of necessity. If (p à q), then p is sufficient condition for q and q is necessary condition for p.
Implications : “if and only if ”
If and only if is bidirectional:
E.g. Krishna will eat if and only if food is Apple.