Logical equivalences


Match the correct logical equivalences involving conditional statements

P) (p→q)∧(p→r) I ) p→ (q∨r)
Q) (p→r)∧(q→r) II ) (p∧q)→ r
R) (p→q)∨(p→r ) III ) p→ (q∧r)
S) (p→r)∨(q→r) IV ) (p∨q)→ r


These are logical properties. You can remember them for quick solving. Or else in worst case if you forgot, then try constructing the truth table.

( P) -> (iii)
( Q) -> (iv)
( R) -> (i)
( S) -> (ii)