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Question
Write the truth values of the following statements:
(1) 2 is a rational number and`sqrt2` is an irrational number. .
(2) 2 + 3 = 5 or `sqrt 2 +sqrt3 = sqrt5`
Solution
(1) Let p : 2 is rational number, q : `sqrt2` is an irrational number. . So given compound statement is p ^ q. Truth value of of p is T and that q is T. Hence, truth value p ^ q = T ^ T =T.
(2) Let p = 2 + 3 = 5 which is T.
q = `sqrt2 +sqrt3 =sqrt5` which is F
∴ Truth value of given statment is T ∨ F = T.
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