Disjunction, Conditional and Biconditional Worksheets
What Are Biconditional, Conditional, and Disjunction Statements? Discrete mathematics is an area that is a large part of present mathematics. Given that present computation consists of a logic building that includes discreet mathematics. However, there are different logical operators that you must learn beforehand. Disjunctions are known as the OR-ing between two sentences. For instance, we can write a sentence with the disjunction operator as Sentence 1 OR Sentence 2 or Sentence 1 ν Sentence 2. The disjunction between two sentences means that if there is even a single true between the operands, then the answer is true. Conditionals, as the name suggests, can only be resolved if it justifies any condition. For instance, if Sentence 1 → , Sentence 2, then sentence two is dependent on sentence 1. In the language, you can say that “if you are on time, then you are not late.” It means that if the first clause is true, then the second clause is also true. Biconditionals are similar to conditionals; however, its quite specific. For instance, "You're not late, only when you come on time."
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Basic Lesson
Demonstrates the concept of basic truth values when given known statements. This is a disjunction. The entire statement will be true whenever at least one of the two claims is true. It will be false if both claims are false.
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Intermediate Lesson
Shows students how to determine truth values for word based statements. This is a conditional statement. The entire statement will be true unless a true claim implies a false claim.
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Independent Practice 1
Contains a mixture of 20 disjunction, conditional and biconditional problems. Students must determine the truth value.
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Homework Worksheet
Features 6 problems where students must determine the truth-value.
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A little logic in your day...
Question: Take
two coins and add them together to equal 15 cents. One is not a nickel.
How can that be?
Answer: the other one is a nickel!