The statement for the logic is
Further explanation:
The logic given in the question is .
The logic is a symbol of implication.
Statement p is “It is raining” and the statement q is “The track meet will be canceled”.
The statement formed for the logic is called a compound statement.
The truth table for the logic is attached below.
From the table attached below it is observed that there are four cases for the compound statement.
Case1:
If p statement is true and the q statement is true then the compound statement for is also true.
Case 2:
If p statement is true and the q statement is false then the compound statement for is false.
Case 3:
If p statement is false and the q statement is true then the compound statement for is true.
Case 4:
If p statement is false and the q statement is false then the compound statement for is true.
For a true statement it can also be said that it is a positive statement and for a false statement it can be said that it is a negative statement.
Statement p is given as “It is raining”, which is a positive statement or a true statement.
Statement q is given as “The track meet will be cancelled”, which is a positive statement or a true statement.
As per the table attached for the logic it is observed that the given statements p and q resembles with the case
as both of the statement are true.
So, the compound statement for is also a true statement.
The compound statement for the logic is as follows:
Therefore, the compound statement for the logic is
Learn more:
- A problem on composite function brainly.com/question/2142762
- A problem on simplification brainly.com/question/894273
- A problem in inverse function brainly.com/question/1632445
Answer details
Grade: High school
Subject: Mathematics
Chapter: Logic
Keywords: Logics, implications, compound, compound statement, true statement, false statement, positive statement, negative statement, p->q.
