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`

Answer 1

(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.