Logic Ch. 2.2.

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Presentation transcript:

Logic Ch. 2.2

Statement- a sentence that is either true or false. Truth Value- True/False Represented with letters such as p or q Example: The mascot of Madison High School is a bobcat. Two angles that add to 90° are supplementary.

Conjunction vs. Disjunction Example: This class is 4th hour and is geometry. This class is 4th hour or geometry. An equilateral triangle has 3 congruent angles and 3 congruent sides. Two lines that do not cross are parallel or non-coplanar.

Negation- Example: Write the statement. Evaluate the truth value. p: I like chocolate. ~p q: I do not like to play sports. ~q r: A line segment never ends. ~r

Write the statement with the given p and q. Evaluate the truth value. p: Today is Tuesday. q: It is raining outside. p ^q p V q ~q ^ p ~p V ~q

Venn Diagrams

Problem Set Pg. 103 #11–22, 31, 33, 48