If p is true and q is false, then p v q is true. True or false

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Guest

Mathematics

25 February, 06:44

If p is true and q is false, then p v q is true. True or false

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Answers (2)

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Todd Terrell · Answer 1

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q", also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".

Andrew · Answer 2

TRUE

Step-by-step explanation:

Given statement is "If p is true and q is false, then p v q is true".

Now we need to decide if the given statement is True or false

By definition of "p v q", also read as "p OR q", we know that if any of p or q is true then value of "p v q" is always true.

Given that p is true then "p v q" must be true.

Whch is same as conclusion of the given statement.

Hence final answer is "TRUE".