Given the sets `A = {1, 3, 5}`, `B = {2,4, 6}`and `C = {0, 2,4, 6, 8}`, which of the following may be considered as universal set (s) for all the three sets A, B and C (i) `{0, 1, 2, 3, 4, 5, 6}` (ii) `phi` (iii) `{0,1,2,3,4,5,6,7,8,9,10}` (iv) `{1,2,3,4,5,6,7,8}`
Text Solution
AI Generated Solution
To determine which of the given sets can be considered a universal set for the sets A, B, and C, we first need to identify the elements in each set:
- Set A = {1, 3, 5}
- Set B = {2, 4, 6}
- Set C = {0, 2, 4, 6, 8}
Next, we will combine all the unique elements from sets A, B, and C to form the universal set.
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Knowledge Check
Given the sets A={1,3,5}, B={2,4,6} and C={0,2,4,6,8}. Then, which of the following may be considered as universal set for all the three sets A, B and C ?
A
{0,1,2,3,4,5,6}
B
`phi`
C
{0,1,2,3,4,5,6,7,8,9,10}
D
{1,2,3,4,5,6,7,8}
If set A={1,2,3,4,5} and set B={1,7,6,8} then which of the following is not true?
A
`2 in B`
B
`1 in A`
C
`6 in B`
D
`5 in A`
A= {1,2,3,4,5,6,7,8,9} B = {2,4,6,8} C = {1,3,5,7,9} = ______