Let U = {1,2,3............50)
A= {x : x is divisible by 2 and 3)
B = {x : x = n², ne N)
C = {x: x is a factor of 42) then
(i)
Write the sets A, B, C in roster form
(
ii)State whether A is equal to C
Answers
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Step-by-step explanation:
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Given
- U = {1,2,3,.........,50}
- A = {x : x is divisible by 2 and 3)
- B = {x : x = n², ne N)
- C = {x: x is a factor of 42)
Solution
(i) Write the sets A, B, C in roster form
A = {6,12,18,24,30,36,42,48}
B = {1,4,9,16,25,36,49}
C = {1,2,3,6,7,14,21,42}
(ii)State whether A is equal to C
- Elements of set A = 6,12,18,24,30,36,42,48
- Elements of set C = 1,2,3,6,7,14,21,42
- Each element of A is not as same as the element in C
- Since all elements of set A&C are not same
- A is not equal to C. ie. A ≠ C
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