1) What is a set? a) A subset. b) A well-defined collection of anything. c) A collection of only numbers and words. d) A power set. e) An empty set. f) A collection of only real-numbers. 2) What are equal sets? a) Sets with the same number of elements. b) Sets with real numbers. c) Sets with the same integers. d) They are power sets. e) They are examples of subsets. f) Sets with exactly the same elements. 3) Which of the following sets is written in roster form? a) A = {...,-2, -1, 0, 1, 2,...} b) B = {x/x is an integer} c) C is the set of the letters of the word 'math'. d) D is the collection of all students in M.4/6. e) E is the set of beautiful students of M.4/8. f) n(F) = 8 4) What is the cardinal number of A = { ∅, 0, 12, 23, { 1, 2 }, { 1, 2, 3,...} } a) n(A) = 4 b) n(A) = 5 c) n(A) = 6 d) n(A) = 7 e) n(A) = 11 f) n(A) = 15 5) It is given that C = {2, 4, 6, 8, 10}, which of the following sets is EQUIVALENT to C. a) {x/x is an even number} b) {x/x is an even number and 0 < x < 10} c) {x/x is an even number greater than 0} d) { -2, -4, -6, -8} e) { @, #, $, %, & } f) { apple, banana, orange, grape} 6) Which of the following is NOT a subset of {0, 1, { 1 }, { 1, 2 }, { 1, 2, 3 } } ? a) ∅ b) {0} c) { { 1 } } d) { { 1, 2, 3 } } e) { 1, {1} } f) { {1}, {0} } 7) Which of the following is TRUE? a) Some natural numbers are integers. b) 0 is not a whole number. c) 15 is a prime number. d) An empty set is a subset of any set. e) The set itself is a subset of a power set. f) A finite set is a set that you can tell the cardinal. 8) Which of the following is an example of an INFINITE SET? a) {x/x is an even number and 2 < x < 10} b) {x/x is an integer more than 5 but less than 9} c) {x/x = n2 and n is is odd} d) A is the set classrooms in M.4 school year 2021. e) B = {x/x is prime and divisible by 2} f) C = { x/x is a letter of the word 'remember'} 9) Which of the following is the set of NATURAL NUMBERS? a) {0, 1, 2, 3, 4,} b) {-2,-1,0,1,...} c) {2,3,5,7} d) {1, 2, 3, 4,...} e) {1, 2, 3, 4} f) {2,4, 6, 8,...} 10) Which of the following is the set of PRIME numbers greater than 3 but less than 15? a) {5, 7, 9, 11,13} b) {5, 7, 11, 13} c) {4, 6, 8, 10, 12,14} d) {6, 9, 12} e) {4, 5, 6,...,14} f) {11, 12, 13, 14} 11) Which of the following diagrams shows NOT a subset? a) b) c) d) e) 12) Which of the following is an integer and a natural number? a) 2 b) -2 c) 0 d) 1/4 e) 1/5 f) 0.33333... 13) Which of the following sets is EQUIVALENT to A = {apple, banana, orange} a) B = {watermelon, grape, pear, mangosteen} b) C = {x/x = N and 5 < x < 9} c) D = {x/ x = 3} d) E = { m, a, t, h} 14) What is the power set of {1, 2} a) {1} b) {1} and {2} c) {1, 2} d) {∅, {1}, {2}, {1,2}} 15) Which of the following represents the set of REAL NUMBERS? a) N b) R - c) R d) R + 16) Which of the following is NOT true? a) An empty set is a subset of a given set. b) The set itself is a subset of a given set. c) If A ⊂ B and B ⊂ A, then A is equal to B. d) The number of subsets of a set is n(A). 17) A = { 1, 3, {5, 7}, 9}. Which of the following is TRUE? a) {5, 7} ⊄ A b) {5, 7} ∈ A c) {5,7}, 9 ⊂ A d) 9 ∉ A 18) Let X = {∅, a, b, c} and Y = {∅, b, e}. What are the sets that correspond to A ⊂ Y and A ⊄ X? a) {∅, e}, {b, e} b) {∅, b}, {b, e} c) {∅, e}, {b, e}, {∅, b} d) {a, c}, {a, b}
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