Find the truth value of the following compound statement
5 + 4 = 9 and 6 x 3 = 12
Answers
Answer:
1. 5 + 4 = 9 ( truth value is same ).
2. 6 x 3 = 12 ( truth value is 6 x 3 = 18).
Step-by-step explanation:
- In context to the given question, we have to find the truth value of the compound statement given;
- given statement;
- ) 5+4 = 9
- ) 6 x3 = 12
- we have to find whether statement are true or not
- 5 + 4= 9
=> we know that, 5 + 4 is 9
so the given compound statement is true.
2. 6 x 3 = 12
=> we know that,6 x 3 is not 12
so the given compound statement is false
and the truth value of the given statement is 6 x 3 = 18
Answer: The truth value of the compound statement
5 + 4 = 9 and 6 x 3 = 12 is false.
Step-by-step explanation:
Given: Compound statement 5 + 4 = 9 and 6 x 3 = 12
To find : Truth value of the statement.
Since it is a compound statement, lets find the truth value of individual statements.
First statement, 5 + 4 = 9
This statement is true. Let the logic value be called T.
Second statement, 6 x 3 = 12
But 6 x 3 = 18 and not 12, hence this statement is false. Let the logic value be called F.
Now, the compound statement is 5 + 4 = 9 and 6 x 3 = 12,
Writing this logically, T and F,
i.e, T ∧ F,
We know that T ∧ F = F
Hence the given compound statement is false.