The statement : r → (p ∧ q), r → (p ∨ q) and (q ∧ r) → p are true for rows A,C and E.
What is truth table?
Truth Table is used to perform logical operations. These operations comprise boolean algebra or boolean functions. It is basically used to check whether the propositional expression is true or false, as per the input values. This is based on boolean algebra.
Some examples of binary operations are AND, OR, NOR, XOR, XNOR, etc. We will learn all the operations here with their respective truth-table.
According to the question
r → (p ∧ q) : for row A : True
For row C : True, for row E: True
r → (p ∨ q) : for row A : True
for row C : True, for row E : True
(q ∧ r) → p : for row A : True
For row C : false, for row E : True
(q ∨ r) → p : for row A : True
For row C : True, for row E : True
So the statement : r → (p ∧ q), r → (p ∨ q) and (q ∧ r) → p are true for rows A,C and E.
For p → q, only when p is false and p is true, the statement is false and invalid.
Hence, the statement : r → (p ∧ q), r → (p ∨ q) and (q ∧ r) → p are true for rows A,C and E.
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