 Hello and welcome to the session. In this session we will discuss symbolic notation and truth values for connectives which include conjunctions and disjunctions. Let us see what are connectives. Connectives are the words such as and and or which are used to join two given statements. The new statement so formed is called a compound statement and is denoted by the symbol written as this and or is denoted by the symbol written as this. Now let us see what are conjunctions. A conjunction is a compound statement which is formed by joining two statements using the connected and. If p and q are two statements then the conjunction of p and q is denoted by p and q. For example we have two statements p sun is a star and q is a planet then p and q is equal to sun is a star is a planet. Now let us see what are truth values of conjunctions. If p and q are two statements then if both p and q statements are true then their conjunction p and q is also true. That is if the truth value of p is t and the truth value of q is t then the truth value of p and q is also t. If either of the statements p or q is false then the conjunction p and q is false. If the truth value of the statement p is t and the truth value of the statement q is f then the truth value of the compound statement p and q is f. And if the truth value of the statement p is f and the truth value of the statement q is t then the truth value of the statement p and q is f. Also if both the statements p and q are false then their conjunction p and q is also false. That is if the truth value of the statement p and q are f then the truth value of the statement p and q is f. In this example the statement p sun is a star is a true statement and q earth is a planet is also a true statement. So their conjunction p and q that is sun is a star and earth is a planet is also a true statement. So its truth value is t. Now let us discuss disjunction. When two statements are joined using a connective or the new statement found is called a disjunction of the given statements. If p and q are two statements then their disjunction is denoted by p or q. For example we have two statements p Miley drives a car and q Miley drives a scooter then p or q is equal to Miley drives a car or Miley drives a scooter. P or q can also be written as Miley either drives a car or a scooter. Now let us discuss the truth value of disjunctions. If p and q are two given statements then if both the statements p and q are true then their disjunction p or q is also true. That is if the truth value of the statement p is t and the truth value of the statement q is t then the truth value of the statement p or q is t. If either of the statements p or q is true then their disjunction p or q is also true. That is if the truth value of the statement p is t and the truth value of the statement q is f then the truth value of the statement p or q is t. And if the truth value of the statement p is f and the truth value of the statement q is t then the truth value of the statement p or q is t. And if both p and q statements are false then their disjunction p or q is also false. That is if the truth value of the statement p is f and the truth value of the statement q is f then the truth value of the statement p or q is also f. So in this example p Miley drives a car and q Miley drives a scooter p or q equal to Miley either drives a car or a scooter is false. If Miley neither drives a car or a scooter and is true if Miley drives either a car or a scooter. So in this session we have discussed connected their symbolic notation and their truth values. This completes our session. Hope you enjoy the session.