Question 1 (a) Let p be Jestina is a computer science major and q be Jestina is a senior. Derive the corresponding symbolic form for the following statements. (i) Jestina is a senior, but she is not a computer science major. (ii) Jestina is neither a computer science major nor a senior. (iii) Jestina is either a computer science major or she is a senior. (iv) Jestina is a senior if and only if Jestina is not a computer science major. (v) Jestina is a senior and computer science major. (b) Given an implication statement: If Sam study Discrete Mathematics, then Sam will get a good grade. Construct a statement to represent (i) converse of the implication statement. (ii) contrapositive of the implication statement. (iii) inverse of the implication statement. (iv) biconditional of the implication statement. (c) Provide an example of compound statement to represent the symbolic form (a V~ b)^~ a. Note: clearly state the a and b statements of your example.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Discrete Mathematics

Question 1
(a) Let p be Jestina is a computer science major and q be Jestina is a senior. Derive the
corresponding symbolic form for the following statements.
(i) Jestina is a senior, but she is not a computer science major.
(ii) Jestina is neither a computer science major nor a senior.
(iii) Jestina is either a computer science major or she is a senior.
(iv) Jestina is a senior if and only if Jestina is not a computer science major.
(v) Jestina is a senior and computer science major.
(b) Given an implication statement:
If Sam study Discrete Mathematics, then Sam will get a good grade.
Construct a statement to represent
(i) converse of the implication statement.
(ii) contrapositive of the implication statement.
(iii) inverse of the implication statement.
(iv) biconditional of the implication statement.
(c) Provide an example of compound statement to represent the symbolic form
(a V ~ b) ^ ~ a.
Note: clearly state the a and b statements of your example.
Transcribed Image Text:Question 1 (a) Let p be Jestina is a computer science major and q be Jestina is a senior. Derive the corresponding symbolic form for the following statements. (i) Jestina is a senior, but she is not a computer science major. (ii) Jestina is neither a computer science major nor a senior. (iii) Jestina is either a computer science major or she is a senior. (iv) Jestina is a senior if and only if Jestina is not a computer science major. (v) Jestina is a senior and computer science major. (b) Given an implication statement: If Sam study Discrete Mathematics, then Sam will get a good grade. Construct a statement to represent (i) converse of the implication statement. (ii) contrapositive of the implication statement. (iii) inverse of the implication statement. (iv) biconditional of the implication statement. (c) Provide an example of compound statement to represent the symbolic form (a V ~ b) ^ ~ a. Note: clearly state the a and b statements of your example.
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