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If r is false and s is false, what is the truth value of ~(r∧~s)?truefalsecannot be determinedSubmit

Question

If r is false and s is false, what is the truth value of ~(r∧~s)?truefalsecannot be determinedSubmit

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Solution

The given statement is ~(r∧~s). We know that r is false and s is also false.

Step 1: Substitute the values of r and s in the given statement. So, it becomes ~(false∧~false).

Step 2: The negation of false (~false) is true. So, the statement now becomes ~(false∧true).

Step 3: The conjunction (AND operation) of false and true is false. So, the statement now becomes ~false.

Step 4: The negation of false is true. So, the truth value of ~(r∧~s) is true.

This problem has been solved

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