Standard #: MA.912.D.6.1 (Archived Standard)


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Use truth tables to determine truth values of propositional statements.


Remarks


Students develop truth tables involving conjunctive, disjunctive, negation, conditional, and biconditional statements and use these truth tables to solve problems.

Example 1: What is the truth value of the following statement?
If the Earth is flat, then arsenic is healthy.  

Example 2: Show that  
.

Example 3: Three students A, B, C owned a pet for some time and then disagreed as to who owns the animal. It is not certain that the responsibility of the ownership is desired. Each student makes one true and one false statement:

Student A claims
-It is C's pet
-I can make no claim to it

Student B claims
-C has no right to it
-It is A's pet

Student C claims
-It is my pet
-Student B's second statement is false.

Which student does the pet belong to?



General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Discrete Mathematics
Standard: Logic - Develop an understanding of the fundamentals of propositional logic, arguments, and methods of proof.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Printed On:4/28/2025 2:04:13 PM
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