2-2 Logic

Ms. Andrejko2-2 LogicReal WorldLegally BlondeVocabularyStatement-a sentence that is either true or falseTruth Value- the truth value of a statement must either be true or falseNegation- the statement takes on the opposite meaning and opposite truth valueCompound statement- two or more statements joined by the word and or or. Conjunction- a compound statement using the word andDisjunction- A compound statement that uses the word or. Truth table- used to determine truth values of negations and compound statementsNotations

ANDORNEGATIONTRUTH TABLESp~pTFFTpqp qTTTTFFFTFFFFpqpqTTTTFTFTTFFFNEGATIONCONJUNCTIONDISJUNCTIONEXAMPLES - Find the truth value:We are in room 604

My name is Ms. Stoffers

Geometry is the 2nd course in the HS math sequence, and it is snowing outside

~(We have an ocean in Arizona)

A dog is a mammal or a bird is an amphibian

TRUEFALSETRUE & FALSE = FALSETRUETRUE or FALSE = TRUEPRACTICE- Find the truth value:June has 30 days

There are 14 months in a year

SDOHs colors are blue and gold and SDOHSs mascot is a tiger

~(The Cardinals are the home football team to Detroit)

Phoenix is the capital of Arizona or Arizona State Universitys mascot is a wildcat.

TRUEFALSETRUE & FALSE = FALSETRUETRUE or FALSE = TRUE7ExamplesUse the following statements to write a compound statement. Then find its truth value: p: 60 seconds = 1 minuteq: Congruent supplementary angles each have a measure of 90r: -12 + 11< -11. pqStatement: 60 seconds equals 1 minute, and congruent supplementary angles each have a measure of 90T T = T2.~ pqStatement: 60 seconds DOES NOT equal 1 minute, and congruent supplementary angles each have a measure of 90F T = TPracticeUse the following statements to write a compound statement. Then find its truth value: p: 60 seonds = 1 minuteq: Congruent supplementary angles each have a measure of 90r: -12 + 11< -11. qrStatement: Congruent supplementary angles each have a measure of 90 or -12 + 11 < -1T F = T2.~ p~rStatement: 60 seconds DOES NOT equal 1 minute, or -12 + 11 is not less than -1F T = TIn your foldableNegationConjunctionDisjunctionExample - Complete the Truth Tablepq~p~q~p ~qTTTFFTFFFFFTTFTTFF = FFT = TTF = TTT = T11Example - Complete the Truth Tablepq~p~p q~(~p q)TTTFFTFFFF T = FFTTF F = F T T = TT F = FTTFT12Example Construct a truth tableqr~q~q rTTTFFTFFFF T = FFTTF F = F T T = TT F = F~q r13Practice Construct a truth tablepr~p~p rTTTFFTFFFF T = TFTT~p rF F = FT T = TT F = T14