# Discrete Mathematics:Write each of the two statements in symbolic form and determine whether they are logically equivalent. Include a truth table."If two is a factor of n and 3 is a factor of n, then 6 is a factor of n. 2 is not a factor of n or 3 is not a factor of n or 6 is a factor of n."

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Discrete Mathematics:

Write each of the two statements in symbolic form and determine whether they are logically equivalent. Include a truth table.

"If two is a factor of n and 3 is a factor of n, then 6 is a factor of n. 2 is not a factor of n or 3 is not a factor of n or 6 is a factor of n."

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Step 1

Below are the given two statements: -

• If two is a factor of n and 3 is a factor of n, then 6 is a factor of n.
• 2 is not a factor of n or 3 is not a factor of n or 6 is a factor of n.

To prove: - The given two statements are logically equivalent. Also, construct a truth table.

Let us consider,

p: 2 is a factor of n.

q: 3 is a factor of n.

r: 6 is a factor of n.

Step 2

Now, the symbolic representation for the given statements can be given as: -

Step 3

Truth table: -  ...

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