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Is it true that if 9 is prime then 3 is even?

Is it true that if 9 is prime then 3 is even?

The truth value of ‘4+3=7 or 5 is not prime’….

Q. The truth value ‘9 is prime then 3 is even’.
B. TTru
Answer» b. TTru
Explanation: The first part of the statement is false, hence whole is true.

What is the truth value of a statement?

Truth Value: the property of a statement of being either true or false. All statements (by definition of “statements”) have truth value; we are often interested in determining truth value, in other words in determining whether a statement is true or false.

What is the truth value of the statement 2 is the only even prime?

2 is a prime number. Except 2 all prime numbers are odd numbers. Therefore 2 is only an even prime number.

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What is the negation of the statement a ->( BV or C )?

What is the negation of the statement A->(B v(or) C)? Explanation: A->P is logically equivalent to ~A v P. Explanation: For implications to be false hypothesis should be true and conclusion should be false. Explanation: The truth table of both statements are same.

What is the truth value of the statement 1 is a prime integer?

1 is not a prime number. Since both the propositions are wrong, the truth value is F.

What is the truth value of the statement 3 is a prime number and 4 is a rational number?

“3” is a Prime number is a true statement. & 4 is a rational number is a false statement. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.

Is the truth value of 4 odd or 1 prime?

4 is not an odd number, it is an even number. 1 is not a prime number.

How many binary relations are there on a set S with 9 distinct elements?

Explanation: S is the set with 9 elements. A relation on S is defined as S x S. There are 92 number of ordered pairs in relation. So, the number of binary relations is 2(9*9) = 281.

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What is the negation of P or Q?

not-P or not-Q
The negation of “P and Q” is “not-P or not-Q”. The negation of “P or Q” is “not-P and not-Q”.

What is the truth value of 4 is even and 8 is odd?

Step-by-step explanation: The truth value of a sentence is “true” or “false”. For “and” to be true, both conditions must be true. “4 is even” is true, but “8 is odd” is false.

Is 4 is a rational number?

4 is a rational number because it can be expressed as the quotient of two integers: 4 ÷ 1.

Is the sentence “9 is prime” true or false?

In your question, the antecedent “9 is prime” is false. The consequent “3 is even” is also false. From line 3 of the truth table, we see that the implication must be true. Note that “If A, then B” is equivalent to saying “B or not A”. Here we can easily see that “3 is even or 9 is not prime” is true, so your original statement is true.

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What is the truth value of 4+3=7 or 5?

12.The truth value of ‘4+3=7 or 5 is not prime’. Explanation: Compound statement with ‘or’ is true when either of the statement is true. Here the first part of the statement is true, hence the whole is true.

When is the truth value of an implication false?

The “truth value” of an implication is only false when the antecedent is true and the consequent is false. Here, the antecedent (“9 is prime”) is false, so the statement is true. It’s important to separate the truth of a statement containing an implication from the validity of the argument it parallels.

What is the truth value of ~P?

The truth value of ~p is the opposite of the truth value of p. Solution: Since p is true, ~p must be false. The number 9 is odd. The number 9 is not odd. Let’s look at some more examples of negation. The product of two negative numbers is a positive number. The product of two negative numbers is not a positive number.