# MTH106- Mathematics for Management Sciences II - Questions and Answers

If every element which belongs to A also belongs to B and if every element which belongs to B also belongs to A, then the sets A and B are _ Answer: equal

Let A = {1, 2, 3, 4} and B = {3, 1, 4, 2}, then _ Answer: A=B

Let \{E={x | x^{2}Ð´ÑƒÑ3x = -2}, F={2,1}\) and \(G ={1,2,2, 1}\). Which of the following statement is true? _ Answer: E=F=G

A set which contains no elements is called_________ _ Answer: a null set

The symbol Ð´Ñ™Ñ“ denotes _________ _ Answer: a void set

Let A be the set of people in the world who are older than 200 years. According to known statistics A is _ Answer: a null set

Let \(B = {x | xÐŠ_= 4, x is odd}\), Then B is Ð´Ñƒ_ _ Answer: a null set

Which statement is valid _ Answer: the object of a set are sets themselves

In any application of the theory of sets, all the sets under investigation will likely be subsets of a fixed set. We call this set _ Answer: universe of discourse

Mortgage payments areÐ´Ñƒ_ _ Answer: annuity-immediate

In any application of the theory of sets, all the sets under investigation will likely be subsets of a fixed set. We call this set _ Answer: universe of discourse

Mortgage payments areÐ´Ñƒ_ _ Answer: annuity-immediate

The set of real numbers and its properties is called the _______________ _ Answer: real number system

There is a natural way to pair off the points on the line and the real numbers, that is, each point will represent a unique real number and each real number will be represented by a unique

point. We refer to this line as the________ _ Answer: real line

_________ are not closed under the operation of division _ Answer: Integers

The ________are those real numbers, which can be expressed as the ratio of two integers. _ Answer: rational numbers

Examples of irrational numbers are _______ _ Answer: \(\sqrt{\pi}, \sqrt{2}, \sqrt{3}, Ð´Ñƒ_\)

The real number \(a \) is less than the real number \(b|) if _____________________ _ Answer: \(b Ð´ÑƒÑ a\) is a positive number

Geometrically, if \(a < b\) then the point a on the real line lies Ð´Ñƒ_ _ Answer: to the left of the point \(b\)

Given \(A1 = {x: 2 < x < 5}, A2 = {x: 2 \leq x \leq 5}, A3 = {x: 2 < x \leq 5}, A4 = {x:2 \leq x < 5}\). Which of the following statements is trueÐ´Ñƒ_ _ Answer: A1 is an open interval , A2 is

a closed interval, A3 and A4 are open-closed and closed- open

Mortgage payments areÐ´Ñƒ_ _ Answer: annuity-immediate

The set of real numbers and its properties is called the _______________ _ Answer: real number system

There is a natural way to pair off the points on the line and the real numbers, that is, each point will represent a unique real number and each real number will be represented by a unique

point. We refer to this line as the________ _ Answer: real line

_________ are not closed under the operation of division _ Answer: Integers

The ________are those real numbers, which can be expressed as the ratio of two integers. _ Answer: rational numbers

Examples of irrational numbers are _______ _ Answer: \(\sqrt{\pi}, \sqrt{2}, \sqrt{3}, Ð´Ñƒ_\)

The real number \(a \) is less than the real number \(b|) if _____________________ _ Answer: \(b Ð´ÑƒÑ a\) is a positive number

Geometrically, if \(a < b\) then the point a on the real line lies Ð´Ñƒ_ _ Answer: to the left of the point \(b\)

Given \(A1 = {x: 2 < x < 5}, A2 = {x: 2 \leq x \leq 5}, A3 = {x: 2 < x \leq 5}, A4 = {x:2 \leq x < 5}\). Which of the following statements is trueÐ´Ñƒ_ _ Answer: A1 is an open interval , A2 is

a closed interval, A3 and A4 are open-closed and closed- open

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