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Question
Determine whether the argument used to check the validity of the following statement is correct:
p : "If x2 is irrational, then x is rational"
The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
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Solution
The argument used to check the validity of the given statement is false because it is given in the argument that x2 = π 2 is irrational and therefore x = π is irrational; however, according to the statement, x is rational.
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