1. Introduction: An if-then statement is composed of two clauses: the if-clause and then-clause. We can denote a letter for each clause, p for the if-clause and q for the then-clause. The statement is in the form, "if p theng." p Conditional statements are formed by joining two statements pand q using the words if and then. The statement pt is called hypothesis and the statement q is called the conclusion. II . Development: In the statement, p is the hypothesis q is the conclusion. The conditions in which a conditional is true are illustrated in the truth table below. р a Pa This table shows the condition of if-then statement. If the hypothesis is T T T true and the conclusion is true, then the statement is true on the second T F rows. In the third row if the hypothesis is true and the conclusion is false means the statement is False. While on the fourth rows if the hypothesis F T T is false and the conclusion is true then the statement is true. Lastly, if the F F T hypothesis is false and conclusion is false the condition is true. Examples: F
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