MAT 142 Lecture Video Series

Slides:



Advertisements
Similar presentations
MAT 142 Lecture Video Series. Symbolic Logic Objectives Determine if a sentence or question is a statement or not. Write a sentence that represents the.
Advertisements

MAT 142 Lecture Video Series. Population, Sample, and Data.
Conditional Statements
2.2 Conditional Statements. Goals Identify statements which are conditional Identify the antecedent and consequent of a conditional statement Negate conditional.
MAT 142 Lecture Video Series. Measures of Dispersion.
Logic Chapter 2. Proposition "Proposition" can be defined as a declarative statement having a specific truth-value, true or false. Examples: 2 is a odd.
MAT 142 Lecture Video Series. Truth Tables Objectives Construct a truth table for a given symbolic expression. Determine if two given statements are.
MAT 142 Lecture Video Series. Dimensional Analysis.
MAT 142 Lecture Video Series. Perimeter and Area.
More on Conditionals Section 1.4. Introduction Given a conditional of the form “if p then q” p  q, we can then form 3 other forms of the conditional.
Conditional Statements
MAT 142 Lecture Video Series. Measures of Central Tendency.
More on Conditionals. Objectives Write the converse, inverse, and contrapositive of a given conditional statement. Determine the premise and conclusion.
Propositions and Truth Tables
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 3.4 Equivalent Statements.
Section 1.5 Implications. Implication Statements If Cara has a piano lesson, then it is Friday. If it is raining, then I need to remember my umbrella.
Section 1-4 Logic Katelyn Donovan MAT 202 Dr. Marinas January 19, 2006.
MAT 142 Lecture Video Series. Simple Interest Objectives Calculate the simple interest on a loan. Calculate the future value of a simple interest loan.
Conditional. Conditional Statements Vocabulary Conditional: A compound sentence formed by using the words if….then. Given the simple sentences p and q,
MAT 142 Lecture Video Series. Introduction to Combinatorics.
Chapter 2: The Logic of Compound Statements 2.2 Conditional Statements
Lecture 4. CONDITIONAL STATEMENTS: Consider the statement: "If you earn an A in Math, then I'll buy you a computer." This statement is made up of two.
Thinking Mathematically Logic 3.5 Equivalent Statements and Variation of Conditional Statements.
Lecture Propositional Equivalences. Compound Propositions Compound propositions are made by combining existing propositions using logical operators.
Thinking Mathematically Equivalent Statements, Conditional Statements, and De Morgan’s Laws.
© 2010 Pearson Prentice Hall. All rights reserved. CHAPTER 3 Logic.
Unit 01 – Lesson 07 – Conditional Statements
 Outside across from the word: › write the symbol for conditional: p -> q  INSIDE: › How to write the statement : If p, then q. › Example : If an angle.
MAT 142 Lecture Video Series. Expected Value Objectives Determine the expected value of an event.
Chapter 1: The Foundations: Logic and Proofs
MAT 142 Lecture Video Series. Sets and Set Operations.
MAT 142 Lecture Video Series. Exponential Functions and Their Inverses.
MAT 142 Lecture Video Series. Combinatorics and Probability.
MAT 142 Lecture Video Series. Right Triangle Trigonometry.
CS-7081 Application - 1. CS-7082 Example - 2 CS-7083 Simplifying a Statement – 3.
Simple Logic.
Chapter 1 Propositional Logic
MAT 142 Lecture Video Series
MAT 142 Lecture Video Series
2. The Logic of Compound Statements Summary
MAT 142 Lecture Video Series
Warm Up:.
Chapter 8 Logic Topics
2 Chapter Introduction to Logic and Sets
Conditional Statements
MAT 142 Lecture Video Series
MAT 142 Lecture Video Series
MAT 142 Lecture Video Series
MAT 142 Lecture Video Series
Chapter 3 Introduction to Logic © 2008 Pearson Addison-Wesley.
Chapter 3 Introduction to Logic 2012 Pearson Education, Inc.
Section 3.4 Equivalent Statements
MAT 142 Lecture Video Series
(1.4) An Introduction to Logic
1 Chapter An Introduction to Problem Solving
Discrete Mathematics and Its Applications Kenneth H
Discrete Mathematics Lecture 2: Propositional Logic
MAT 142 Lecture Video Series
1 Chapter An Introduction to Problem Solving
MAT 142 Lecture Video Series
MAT 3100 Introduction to Proof
Discrete Mathematics Lecture 2: Propositional Logic
MAT 142 Lecture Video Series
1.3 Propositional Equivalences
CHAPTER 3 Logic.
Section 3.4 Equivalent Statements
Logic and Reasoning.
Conditional Statements Section 2.3 GEOMETRY
MAT 142 Lecture Video Series
MAT 142 Lecture Video Series
Presentation transcript:

MAT 142 Lecture Video Series

More on Conditionals (MAT 142)

Objectives Write the converse, inverse, and contrapositive of a given conditional statement. Determine the premise and conclusion of a given conditional statement. Rewrite a given conditional statement in standard “if . . ., then . . . form. Rewrite a biconditional as the conjunction of two conditionals.

Objectives Determine if two statements are equivalent using truth tables. Write an equivalent variation of a given conditional.

More on Conditionals (MAT 142) Vocabulary converse inverse contrapositive only if biconditional

Conditionals Name Symbolic Form Conditional Converse Inverse Contrapositive

Using the statements below, write the sentence representation of each of the symbolic expressions : I am a multimillion-dollar lottery winner. q: I am a world traveler.

Using the statements below, write the sentence representation of each of the symbolic expressions : I am a multimillion-dollar lottery winner. q: I am a world traveler.

Using the statements below, write the sentence representation of each of the symbolic expressions : I am a multimillion-dollar lottery winner. q: I am a world traveler.

Using the statements below, write the sentence representation of each of the symbolic expressions : I am a multimillion-dollar lottery winner. q: I am a world traveler.

Write the converse, inverse, and contrapositive of the sentence: If you do not eat meat, you are a vegetarian Converse: If you are a vegetarian, then you do not eat meat. Inverse: If you do eat meat, then you are not a vegetarian. Contrapositive: If you are not a vegetarian, then you do eat meat.

Write the converse, inverse, and contrapositive of the sentence: You do not win, if you do not buy a lottery ticket. Converse: If you do not win, then you do not buy a lottery ticket. Inverse: If you buy a lottery ticket, then you win. Contrapositive: If you win, then you buy a lottery ticket.

Determine the premise and conclusion of the statement: I eat raw fish only if I am in a Japanese restaurant. Rewrite the compound statement in standard form.

Write the biconditional as a conjunction of two conditionals: We eat at Burger World if and only if Ju Ju’s Kitsch-Inn is closed.

Translate the two statements into symbolic form and use truth tables to determine whether the statements are equivalent. If I do not have health insurance, I cannot have surgery. If I can have surgery, then I do have health insurance.

Determine which pairs of statements are equivalent. If Proposition III passes, freeways are improved. If Proposition III is defeated, freeways are not improved. If the freeways are not improved, then Proposition III does not pass. If the freeways are improved, Proposition III passes.

Creator and Producer Elizabeth Jones for The School of Mathematical and Statistical Sciences at Arizona State University Videographer Mike Jones ©2009 Elizabeth Jones and School of Mathematical and Statistical Sciences at Arizona State University

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.