MTH202 Assignment 1 Solution Fall 2022

MTH202 Assignment 1 Solution Fall 2022 | MTH202 Assignment 1 Solution 2023

solution 1: 

A: If i like the teacher

B: The course is interesting

C: I do not miss class.

A V B > C

Converse: if the course is interesting then I like the teacher and i do not miss class.

B > A V C

Inverse: If I do not like the teacher or the course is not interesting , then I miss

class.

~A V ~B > ~C

Contra positive: If the course is not interesting, then i do not like the teacher and i miss class.

~B > ~A V~C 

QUESTION 2:

SOLUTION:

U={0.1,2,3.4,5 ..... 19,20} (Whole Numbers)

A={2,3,5,7,11,13,17,19} (Prime Numbers)

B={1,2,3,4,5,6.......14,15} (Natural Numbers)

First of all we find A complement - B

A =U-A

A‘ = {0,1,2,3,4,5, 6............ 19, 20} - {2,3,5, 7,11, 13,17, 19}

= {0, 4, 6, 8,9,10,12,14, 15, 16,18, 20}

A'-B= {0,4,6,8,9,10,12,14,15,16, 18, 20} - {1, 2,3........ 14,15}

A'-B= { 0, 16 , 18 ,20 }