InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Write the truth values of the following statements:i. \(\exists\) n \(\in\) N, n + 3 > 5.ii. If ABC is a triangle and all its sides are equal then each angle has measure 30\(^\circ\).iii. \(\forall\) n \(\in\) N, n2 + n is an even number while n2- n is an odd number. |
|
Answer» i. Consider the statement, \(\forall\) n \(\in\) N, n + 3 > 5 \(\therefore\) n = 1 and n = 2 \(\in\) N do not satisfy n + 3 > 5 \(\therefore\) truth value of p is F. ii. Let p: ABC is a triangle and all its sides are equal. q: Each angle has measure 30\(^\circ\) The symbolic form of the given statement is p \(\rightarrow\) q Since the truth value of p is T and that of q is F, \(\therefore\) truth value of p\(\rightarrow\) q is F iii. Let p: \(\forall\) n \(\in\) N, n2 + n is an even number. q: \(\forall\) n \(\in\) N, n2 - n is an odd number. \(\therefore\)The symbolic form of the given statement is p \(\land\) q. Since, the truth value of p is T and q is F, \(\therefore\) truth value of p \(\land\)q is F |
|