Cos 1501 - Study guides, Class notes & Summaries

Question 1(OPTION 4 IS CORRECT) Let's go with elimination method. From the given expression, it is clear that there should not be 'C' (because -C is done). If you observe the given options, 2nd and 3rd options have at least some portion of 'C' included. So, the answer must be from either 1st or the 4th option. A intersection B includes only some portion, and inverse of A intersection B will definitely contain A and B, similarly from A+B (i.e. it contains A and B). There by the final...

STUDY UNIT 1 NUMBER SYSTEMS INTEGERS 1. Z 2. Z = {…, -3, -2, -1, 0, 1, 2, 3, …} 3. See #2 4. No 5. For every integer m there exists an integer n such that m+n=0. eg.1. x+3 = 0, x = -3 eg.2. x2 = 9, x = 3 or x = -3 6. For any integer x, the absolute value of x is defined to be: |x| = x or |x| = -x. Eg.1. |2|<|-5| Eg.2. w 2 = |w| (same with squareroots) 7. A number where the only factors are one and itself 8. n! = n(n-1)(n-2)…(4)(3)(2)(1) Eg. 6! = 720 9. For all integers...

ASSIGNMENT 01 (SEMESTER 1) Consider the following sets, where U represents a universal set: U = {0/ , a, b, c, {b}, {c}, {b, c}} A = {0/ , {b, c}} B = {a, {b}, {c}} C = {0/, a, b, c}. Questions 1 to 10 are based on the sets defined above. NOTE: The Venn diagrams in study unit 4 will help you to understand the definitions in study unit 3. Question 1 Alternative 1 B = U − B = {0/ , a, b, c, {b}, {c}, {b, c}} − {a, {b}, {c}} = {0/, b, c, {b, c}} Set complement: The elements 0/, b, c ...