(A) The set $E$ consists of all months in a year that have fewer than $31$ days.Months with $31$ days are: January,March,May,July,August,October,and D

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February,April,June,September,November

(A) The set $E$ consists of all months in a year that have fewer than $31$ days.Months with $31$ days are: January,March,May,July,August,October,and December.Months with $30$ days or fewer are: February ($28$ or $29$ days),April,June,September,and November.Therefore,$E = \{ \text{February, April, June, September, November} \}$.

Class 11 Mathematics Set Theory Basic of Set theory

Easy

List all the elements of the following set:
$E = \{ x : x \text{ is a month of a year not having } 31 \text{ days} \}$

A
February,April,June,September,November
B
January,March,May,July,August,October,December
C
February,March,April,June,August,November
D
January,February,April,June,September,November

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Basic of Set theory

Prove that for any sets $A$ and $B$,$A \cap (A \cup B) = A$.

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State whether the following set is finite or infinite:
The set of letters in the English alphabet.

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For two sets $A$ and $B$,$A \cup B = A$ if and only if

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Which of the following is a set? Justify your answer.
The collection of all even integers.

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Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements are incorrect and why?
$1 \in A$

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List all the elements of the following set:$E = \{ x : x \text{ is a month of a year not having } 31 \text{ days} \}$

Similar Questions

Prove that for any sets $A$ and $B$,$A \cap (A \cup B) = A$.

State whether the following set is finite or infinite:The set of letters in the English alphabet.

For two sets $A$ and $B$,$A \cup B = A$ if and only if

Which of the following is a set? Justify your answer.The collection of all even integers.

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements are incorrect and why?$1 \in A$

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List all the elements of the following set:
$E = \{ x : x \text{ is a month of a year not having } 31 \text{ days} \}$

State whether the following set is finite or infinite:
The set of letters in the English alphabet.

Which of the following is a set? Justify your answer.
The collection of all even integers.

Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements are incorrect and why?
$1 \in A$