Conjunction
If two statements p and q are combined by the connective “AND” (∧), then the compound statement p ∧ q so formed is called a conjunction. For example, if p: he is tall, q: he is handsome, then their conjunction is p ∧ q: he is tall and he is handsome or p ∧ q: he is tall and handsome.
Sometimes p ∧ q is also written as pq or p.q. p ∧ q is true only when both p and q are true.
The following truth table shows the truth values of p ∧ q and q ∧ p.
Truth table (p ∧ q, q ∧ p)


p

q

p ∧ q

q ∧ p

T

T

T

T

T

F

F

F

F

T

F

F

F

F

F

F

Rule: p ∧ q is true only when both pand q are true.

Remark: The above truth table shows that p ∧ q = q ∧ p.