Question

without using truth table prove that (p v q) ^ (p v ~q)= p​

Answer 1

Step-by-step explanation:

pv (q^~q) = pV F=p

p or false result in p

Answer 2

without using truth table proved that Distributive law.

Step-by-step explanation:

• The distributive law as shown in the truth table below states that OR'ing two or more variables and then AND'ing the result with a single variable is equivalent to AND'ing the single variable with each of the two or more variables and then OR'ing the products.

• Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.
• without using truth table prove that (p v q) ^ (p v ~q)= p​ Distributive law