Question

"1) State the number of elements (or members) in each set. a) {blue, green, red, yellow} b) {a,b,c,d,e,f,g} c) {Ontario, Alberta, Manitoba} d) {2,5,6,8,10} e) { 9, 8, 7} − − − f) {0,1} g) {0} h) {1, 2,3, 4,5,...} i) { }"

Answer 1

The student's question about the number of elements in various sets can be answered as follows: sets a), b), c), d), e), f), and g) have 4, 7, 3, 5, 3, 2, and 1 elements respectively. Set h) is infinite, and set i) is empty, having 0 elements.

Step-by-step explanation:

To state the number of elements (or members) in each set:

• a) {blue, green, red, yellow} has 4 elements.
• b) {a,b,c,d,e,f,g} has 7 elements.
• c) {Ontario, Alberta, Manitoba} has 3 elements.
• d) {2,5,6,8,10} has 5 elements.
• e) {9, 8, 7} has 3 elements.
• f) {0,1} has 2 elements.
• g) {0} has 1 element.
• h) {1, 2,3, 4,5,...} represents an infinite set, so it has an infinite number of elements.
• i) { } is the empty set, so it has 0 elements.