Conditional Statements & Converses Worksheets

Variables, mostly p and q, often symbolize a conditional expression or a conditional expression. P is commonly used for indicating the hypothesis and Q is for the conclusion. There is also a logical connector with the conditional statement. The arrow sign indicates the logical connector. The condition is considered to be valid unless a correct hypothesis leads to a false conclusion. There is a table that can help understand conditional statements and their expected outcomes:

P	Q	P --> Q
T	T	T
T	F	F
F	T	T
F	F	T

The above table is called the truth table. It can be seen that p-> is only false in cases where the value of P is true, and Q is false. In all other cases, it is true. It is important to note that conditional is a compound statement. Converse: Switching the hypothesis and conclusion of a conditional statement. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet, then it is raining." Note: As in the example, a proposition may be true but have a false converse.