16) Use De Morgan's laws to find the negation of the statement: "The student will have a class tomorrow or will have an exam." a) The student will have a class tomorrow and will have an exam. b) The student will have a class tomorrow and will not have an exam. c) The student will not have a class tomorrow and will not have an exam. d) The student will not have a class tomorrow or will not have an exam. 17) Using truth-tables, check the veracity of the following statement: ((r→t) V (s A-t)) A (t V r)) is equivalent to (t V (SA r)) 18) Using truth-tables, check the veracity of the following statement: ((rt) V (s A-t)) A (t Vr)) is equivalent to (t A (s^ r)) [T/F] [T/F]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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16) Use De Morgan's laws to find the negation of the statement: "The student will have a class tomorrow or
will have an exam."
a) The student will have a class tomorrow and will have an exam.
b) The student will have a class tomorrow and will not have an exam.
c) The student will not have a class tomorrow and will not have an exam.
d) The student will not have a class tomorrow or will not have an exam.
17) Using truth-tables, check the veracity of the following statement:
((rt) V (s A-t)) A (t Vr)) is equivalent to (t V (s^ r))
18) Using truth-tables, check the veracity of the following statement:
((rt) V (s A-t)) A (t Vr)) is equivalent to (t A (s^ r))
[T/F]
[T/F]
Transcribed Image Text:16) Use De Morgan's laws to find the negation of the statement: "The student will have a class tomorrow or will have an exam." a) The student will have a class tomorrow and will have an exam. b) The student will have a class tomorrow and will not have an exam. c) The student will not have a class tomorrow and will not have an exam. d) The student will not have a class tomorrow or will not have an exam. 17) Using truth-tables, check the veracity of the following statement: ((rt) V (s A-t)) A (t Vr)) is equivalent to (t V (s^ r)) 18) Using truth-tables, check the veracity of the following statement: ((rt) V (s A-t)) A (t Vr)) is equivalent to (t A (s^ r)) [T/F] [T/F]
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