p=T, q = F, and r = T.Select the expression that evaluates to false.1) (q^r) → p2) (p^r) →qO 3) (q Ar) - p(_____)_4) (q ^r) → ¬P5) None of the above is correct

Since, ,that is p is true, q is false and r is true.(1) So, is F and negation of this is F, (2)…

Answered: p=T, q= F, and r = T. Select the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

p=T, q = F, and r = T.
Select the expression that evaluates to false.
1) (q^r) → p
2) (p^r) →q
O 3) (q Ar) - p
(_____)_4) (q ^r) → ¬P
5) None of the above is correct

Expert Solution

Step 1: Determine the truth value.

Since, $p equals T comma q equals F space a n d space r equals T$ ,that is p is true, q is false and r is true.

(1) So, $left parenthesis q logical and space r right parenthesis space$ is F and negation of this is F, $not left parenthesis q logical and r right parenthesis space i s space T space space comma space a l s o space space p space i s space T. S o space not left parenthesis q logical and r right parenthesis rightwards arrow p space i s space T$

(2) Since, $left parenthesis p logical and r right parenthesis space i s space T space comma n o t e space t h a t space q space i s space F comma S o space left parenthesis p logical and r right parenthesis rightwards arrow q space i s space F$