Consider the experiment of rolling a die. Let $A$ be the event 'getting a prime number' and $B$ be the event 'getting an odd number'. Write the sets representing the events $A$ and $B$.
- A$A = \{2, 3, 5\}, B = \{1, 3, 5\}$
- B$A = \{2, 3, 5\}, B = \{1, 2, 3\}$
- C$A = \{1, 3, 5\}, B = \{2, 4, 6\}$
- D$A = \{2, 4, 6\}, B = \{1, 3, 5\}$
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If $A = \{ 1, 2, 3, 4, 5 \}$,then what is the number of proper subsets of $A$?
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If $A \subset B$ and $B \in C,$ then $A \in C$.
If $A \subset B$ and $B \in C,$ then $A \in C$.
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View SolutionWhich of the following is a set? Justify your answer.
The collection of all boys in your class.
The collection of all boys in your class.
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View SolutionMatch each of the set on the left described in the roster form with the same set on the right described in the set-builder form:
$(i) \{ P,R,I,N,C,A,L\} $ $(a) \{ x:x \text{ is a positive integer and is a divisor of } 18\} $ $(ii) \{ 0\} $ $(b) \{ x:x \text{ is an integer and } x^2 - 9 = 0\} $ $(iii) \{ 1,2,3,6,9,18\} $ $(c) \{ x:x \text{ is an integer and } x + 1 = 1\} $ $(iv) \{ 3, -3\} $ $(d) \{ x:x \text{ is a letter of the word } PRINCIPAL\} $
| $(i) \{ P,R,I,N,C,A,L\} $ | $(a) \{ x:x \text{ is a positive integer and is a divisor of } 18\} $ |
| $(ii) \{ 0\} $ | $(b) \{ x:x \text{ is an integer and } x^2 - 9 = 0\} $ |
| $(iii) \{ 1,2,3,6,9,18\} $ | $(c) \{ x:x \text{ is an integer and } x + 1 = 1\} $ |
| $(iv) \{ 3, -3\} $ | $(d) \{ x:x \text{ is a letter of the word } PRINCIPAL\} $ |
Medium
View SolutionWhich of the following pairs of sets are disjoint?
$A = \{ x : x \text{ is an even integer} \}$
$B = \{ x : x \text{ is an odd integer} \}$
$A = \{ x : x \text{ is an even integer} \}$
$B = \{ x : x \text{ is an odd integer} \}$
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