Question

Logically Equivalent Statements and Contradictory Statements You can use truth tables to compare two propositions and determine how they are related to each other. Two propositions are logically equivalent statements if their truth tables show the same truth value on every line under the statements' main operators. Two statements are contradictory statements if their truth tables show opposite truth values on every line beneath the statements' main operators. Complete a truth table for each pair of propositions. On the right side of the truth table, indicate whether each line shows identical or opposite truth values beneath the two statements' main operators. Click the correct answer to the question beneath the truth table to indicate whether each pair of statements is logically equivalent, contradictory, or neither equivalent nor contradictory. Proposition A Proposition B ~X • M ~(X • M) Given Truth Values Truth Table Comparison Proposition A Proposition B X M ~ X • M / ~ ( X • M ) T T T F F T F F Main Columns: By comparing the columns beneath the main operators of the two statements, you can see that proposition A and proposition B are related in which of the following ways? Proposition A and proposition B are both logically equivalent statements and contradictory statements. Proposition A and proposition B are contradictory statements. Proposition A and proposition B are logically equivalent statements. Proposition A and proposition B are neither logically equivalent statements nor contradictory statements.

Name: logically equivalent statements and contradictory statements you can use truth tables to compare two propositions and determine how they are related to each other two propositions are logically equiva
Uploaded: 2021-02-18T04:15:32-08:00
Duration: 8 min 25 s
Channel: Linda Hand
Description: logically equivalent statements and contradictory statements you can use truth tables to compare two propositions and determine how they are related to each other two propositions are logically equiva

          Logically Equivalent Statements and Contradictory
Statements
You can use truth tables to compare two propositions and
determine how they are related to each other. Two propositions
are logically equivalent statements if their truth tables
show the same truth value on every line under the statements' main
operators. Two statements are contradictory statements if
their truth tables show opposite truth values on every line beneath
the statements' main operators.
Complete a truth table for each pair of propositions. On the
right side of the truth table, indicate whether each line shows
identical or opposite truth values beneath the two statements' main
operators. Click the correct answer to the question beneath the
truth table to indicate whether each pair of statements is
logically equivalent, contradictory, or neither equivalent nor
contradictory.
Proposition A
Proposition B
~X • M
~(X • M)
Given Truth Values
 
 
Truth Table
 
Comparison
Proposition A
 
Proposition B
X
M
 
 
~
X
•
M
/
~
(
X
•
M
)
 
 
T
T
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
T
F
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
F
T
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
F
F
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
 
 
Main Columns:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
By comparing the columns beneath the main operators of the two
statements, you can see that proposition A and proposition B are
related in which of the following ways?
Proposition A and proposition B are both logically equivalent
statements and contradictory statements.
Proposition A and proposition B are contradictory
statements.
Proposition A and proposition B are logically equivalent
statements.
Proposition A and proposition B are neither logically equivalent
statements nor contradictory statements.

Added by Lisa C.

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