 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that using the given statements write the disjunctions p or q and not p or q also determine whether they are true or false. p is 11 is a prime number, q is the sides of an equilateral triangle are not equal. As we know when two statements are joined using a connective or the new statement formed is called the disjunction. Also we know that if both p and q statements are true then the disjunction p or q is also true. If either of p or q statements is true then the disjunction p or q is also true. And if both p and q statements are false then the disjunction p or q is also false. With this key idea let us proceed with the solution. We are given the following statements p 11 is a prime number and q the sides of an equilateral triangle are not equal. We first write the disjunction p or q. To write this disjunction we will have to join the two statements p and q with the connective or. So p or q is given by 11 is a prime number or the sides of an equilateral triangle are not equal. Now we shall determine its truth value. Now here the statement p 11 is a prime number is a true statement and the statement q the sides of an equilateral triangle are not equal is a false statement. As we know from the key idea if either of p or q statement is true then their disjunction p or q is also true. This implies that p or q is a true statement. Now we shall write the disjunction not p or q. For this we first write negation of p. We have p equal to 11 is a prime number. So negation of p is 11 is not a prime number. We have q equal to the sides of an equilateral triangle are not equal. So not p or q is equal to 11 is not a prime number or the sides of an equilateral triangle are not equal. Now we determine whether this statement is true or false. So here not p is 11 is not a prime number is a false statement and q the sides of an equilateral triangle are not equal is also a false statement. So as we know from the key idea if both p and q statements are false then their disjunction p or q is also false. This implies not p or q is a false statement. This is the required answer. With this we complete our session. Hope you enjoyed this session.