Sets, Relations and Functions
The smallest set $$A$$ such that $$A\cup \left\{ 1,2 \right\} =\left\{ 1,2,3,5,9 \right\} $$ is
The smallest set $$A$$ such that $$A\cup \left\{ 1,2 \right\} =\left\{ 1,2,3,5,9 \right\} $$ is
Let $$S$$ be a non-empty subset of $$R$$. Consider the following statement: $$p$$ : There is a rational number $$x$$ such that $$x > 0$$. which of the following statements is the negation of statement P?
Which of the following are sets? Justify the answer. The collection of ten most talented writers of India
State whether the following statement is true or false. $$\{a\}\in\{a, b, c\}$$.
State whether the following statement is true or false. $$\{a, b\}=\{a, a, b, b, a\}$$.
Say true or false. The collection of rich people in your district is an example of a set.
Say true or false: The sets $$A = \{b, c, d, e \}$$ and $$B = \{x : x$$ $$\text {is a letter in the word "master"} \}$$ are joint.
State true or false. Given universal set= $$\displaystyle =\left \{ -6,-5\frac{3}{4}, -\sqrt{4}, -\frac{3}{5}, -\frac{3}{8}, 0, \frac{4}{5}, 1, 1\frac{2}{3}, \sqrt{8}, 3.01, \pi , 8.47 \right \}$$ From the given set, find set of non-negative integers is $$\displaystyle \left \{0,1 \right \}$$.
What universal set (s) would you propose for each of the following: The set of isosceles triangles.
The union of the following pair of sets is: $$A = \{2, 3, 5, 6, 7\}, B = \{4, 5, 7, 8\}$$
Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$B \cap C$$
Let the universal set U, be a set all students of your school, A is set of boys. B is the set of girls C is the set of students participating in sports. Describe the following set in words and represent them by the Venn diagram. $$A \cup (B \cap C)$$
In an examination, $$34\%$$ of the candidates fail in Arithmetic and $$42\%$$ in English. If $$20\%$$ fail in Arithmetic and English, the percentage of those passing in both subjects is :
If $$A = $${1,4,6}, $$B = $${3,6}, then find $$(A \cap B)$$
Let $$A$$ and $$B$$ be two sets then, $$(A \cup B') \cap (A' \cap B)$$ is equal to
Let, $$n(u)=700,n(A)=200,n(B)=300$$ $$n\left( A\cap B \right) =100,n\left( A^{\prime} \cap B^{\prime} \right) =$$
Let A = { letters of the word "IDEA"} and B = {letters of the word "MAN"}. Then the sets A and B are
Let $$A=\left\{ 1,2,3,4 \right\} $$ and $$B=\left\{ 2,3,4,5,6 \right\} $$, then $$A\triangle B$$ is equal to =?$$$$ where, $$A\triangle B$$ is defined as $$\displaystyle {A}\triangle {B}=\{{x}:{x}\in\frac{{A}}{{B}}$$ or $$\displaystyle {x}\in\frac{{B}}{{A}}\})$$
In a combined test in Maths and Chemistry. $$84\%$$candidates passed in Maths, $$76\%$$ in Chemistry and $$8\%$$ failed in both. If $$340$$ candidates passed in the test, then how many appeared ?
Let $$A$$ be a non-empty set such that $$A \times A$$ has $$9 $$ elements among which are found $$(-1, 0)$$ and $$(0, 1)$$, then
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