G78.M4.S3.Q3

1. State whether the following represents a set or not.

1. 1. All tasty fruits.

2. 2. The collection of interesting books in your school library.

3. 3. The first five counting numbers form a set.

• 1. 1. YES, well-defined

  2. 2. YES, well-defined

  3. 3. YES, well-defined

• 1. NO, not well-defined

  1. 2. NO, not well-defined

  2. 3. NO, not well-defined

• 1. 1. NO, not well-defined

  2. 2. NO, not well-defined

  3. 3. YES, well-defined

• 1. 1. YES, well-defined

  2. 2. YES, well-defined

  3. 3. NO, not well-defined

1. State whether the following statements are True or False.

1. 1. Sets { 4, 9, 6, 2 } and { 6, 2, 4, 9 } are not the same. 

2. 2. Set of letters in the word ‘Suchismita’ is  { s, u, c, h, i, m, t, a }

3. 3. Set  { 4, 5, 8 } is the same as the sets  { 5, 4, 8 } and  { 8, 4, 5 }

• 1. 1. False

  2. 2. True

  3. 3. True

• 1. 1. True

  2. 2. False

  3. 3. True

• 1. 1. False

  2. 2. False

  3. 3. True

• 1. 1. False

  2. 2. True

  3. 3. False

1. Represent the given set in Roster Form.

U = {x : x is an integer and – 3 ≤ x < 7}

• U = {-2,-1,0,1,2,3,4,5,6}

• U = {-3,-2,-1,0,1,2,3,4,5}

• U = {-3,-2,-1,0,1,2,3,4,5,6}

• U = {-3,-2,-1,1,2,3,4,5,6,7}

1. Represent the given set in Roster Form.

B = {x : x is a Natural Number which is less than or equal to 8}

• B = {1,2,3,4,5,6,7}

• B = {0,1,2,3,4,5,6,7,8}

• B = {1,2,3,4,5,6,7,8}

• B = {0,1,2,3,4,5,6,7}

1. Represent the given set in Roster Form.

O = {x : x is an odd number between 10 and 20}

• O = 

  {11,13,15,17,19}

• O = 

  {11,13,15,17}

• O = 

  {11,13,15,17,19,21}

• O = 

  {9,11,13,15,17,19}

1. Represent the given set in Rule/Set-Builder form.

F = {set of all multiples of 5 less than or equal to 60}

• F = {x : x ∈ F is multiples of 5 < 60}

• F = {x : x ∈ F is multiples of 5 > 60}

• F = {x : x ∈ F is multiples of 5 = 60}

• F = {x : x ∈ F is multiples of 5 ≤ 60}

1. Represent the given set in Rule/Set-Builder form.

P = {set of even natural numbers}

• P = {x : x ∈ P is 2,4,6, . . 100 }

• P = {x : x ∈ P is all even numbers}

• P = {x : x ∈ P is every number that is not even }

• P = {x : x ∈ P is all natural numbers}

1. Represent the given set in Rule/Set-Builder form.

D = {Tuesday, Thursday}

• D = {x : x ∈ D is days of the week starting with letter 'T'}

• D = {x : x ∈ D is days of the month starting with letter 'T'}

• D = {x : x ∈ T is days of the year starting with letter 'T'}

• D = {x : x ∈ T is days of the week starting with letter 'D'}

Use the notations ∈ or ∉ to make each of the following true.

1. a) 0 __ N(Set of Natural Numbers)

2. b) -1 __ W(Set of Whole Numbers)

3. c) 5/7 __ Q(Set of Rational Numbers)

• a) ∈

  b) ∈

  c) ∈

• a) ∉

  b) ∉

  c) ∉

• a) ∉

  b) ∉

  c) ∈

• a) ∈

  b) ∈

  c) ∉