👉 LOGICAL CONNECTIVES
And : ^
Or : √
Implies that : =>
if and only : <=>
👉 Some imp conversation for JEE
1. p=>q equivalent to ~p √ q
👉If both are T or F then ek is T . In rest case q decide .
2. ~(p^q) eq to ~p √ ~q and same for ^
3. p<=> q ek to (~p √ q) ^ (~q √ p)
👉 Only T if both are T
👉 Note
1. Converse of p=>q is q=>p
2. Inverse of p=>q is ~p => ~q
3. Contrapositive of p=>q is ~q=>~p
::- 👍 way to remember-
Contrapositive is inverse of converse
👉 Tautology & Contradiction
- Tautology means always true
- Contradiction - always false
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