Mathematics SSS 2 Second Term

WEEK 2

Logical Reasoning

Performance Objectives

Students should be able to;

1. Use the truth table to prove that a contrapositive is equivalent to a conditional statement.
2. Use truth table to prove that a converse is equivalent to an inverse of a conditional statement
3. Apply contrapositive and inverse in proving theories

Conditional statements

Content

In mathematics, many statements are of the form 'If P, then Q’. Such statements are called conditional statements or implications.

When two simple statements arecombined by 'If ...... then', such that thefirst statement implies the second. They are denoted by P =» Q. The if clause statement i.e. P) is sometimes called the antecedent while the then clause (Q) is called the consequent.

The conditional statement P =» Q can also be read as:

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