Constraint-Based Sets

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Q. If a set is defined by the constraints 'x is a natural number and x < 10', which of the following is an element of this set?
  • A. 10
  • B. 5
  • C. 0
  • D. -3
Q. If a set is defined by the constraints 'x is a real number and x^2 < 16', which of the following is NOT an element of this set?
  • A. −3
  • B. 3
  • C. 4
  • D. −4
Q. If a set is defined by the constraints 'x is a real number and x^2 < 4', which of the following intervals represents this set?
  • A. (-2, 2)
  • B. (-4, 4)
  • C. (-2, 2]
  • D. [0, 2)
Q. If a set is defined by the constraints 'x is an integer and x > 5', which of the following is NOT an element of this set?
  • A. 6
  • B. 7
  • C. 5
  • D. 8
Q. If a set is defined by the constraints of being a vowel and a letter in the English alphabet, which of the following is an example of an element in this set?
  • A. B
  • B. C
  • C. A
  • D. D
Q. If a set is defined by the constraints of being both a multiple of 3 and less than 30, which of the following is an element of this set?
  • A. 9
  • B. 10
  • C. 15
  • D. 31
Q. If a set of students is defined by the constraint of having a GPA above 3.5, which of the following students would be included?
  • A. Alice with a GPA of 3.4
  • B. Bob with a GPA of 3.6
  • C. Charlie with a GPA of 3.5
  • D. Diana with a GPA of 3.2
Q. If set C is defined as the set of all x such that x is a multiple of 3 and less than 15, which of the following is a member of set C?
  • A. 12
  • B. 15
  • C. 9
  • D. 16
Q. If set C is defined as {x | x is an integer and x is divisible by 3}, which of the following integers is NOT a member of set C?
  • A. 6
  • B. 9
  • C. 10
  • D. 12
Q. If set D is defined by the constraints z ≥ 2 and z ≤ 8, which of the following is the range of values for set D?
  • A. 2 to 8
  • B. 1 to 9
  • C. 0 to 10
  • D. 2 to 9
Q. In a constraint-based set defined as {x | x is a fruit and x is red}, which of the following fruits would be included?
  • A. Banana
  • B. Apple
  • C. Grapes
  • D. Pineapple
Q. In a constraint-based set defined as {x | x is a multiple of 3 and x < 30}, which of the following is the smallest element?
  • A. 3
  • B. 6
  • C. 9
  • D. 12
Q. In a constraint-based set defined as {x | x is a positive integer and x is less than or equal to 5}, which of the following is the largest element?
  • A. 4
  • B. 5
  • C. 6
  • D. 3
Q. In a constraint-based set of colors, if red and blue are included, which of the following colors could be excluded based on the constraint of primary colors?
  • A. Green
  • B. Yellow
  • C. Purple
  • D. Orange
Q. In a constraint-based set of fruits, if the constraint is that all fruits must be tropical, which of the following would be excluded?
  • A. Mango
  • B. Banana
  • C. Apple
  • D. Pineapple
Q. In a constraint-based set, if the constraint is 'x must be a multiple of 3', which of the following numbers would be included in the set?
  • A. 4
  • B. 9
  • C. 10
  • D. 14
Q. In a constraint-based set, if the constraint is 'x must be a multiple of 5', which of the following numbers would be included in the set?
  • A. 12
  • B. 15
  • C. 22
  • D. 27
Q. In a constraint-based set, if the constraint is 'x must be a square number', which of the following numbers would be included?
  • A. 1
  • B. 2
  • C. 3
  • D. 5
Q. In a constraint-based set, if the constraint is 'x must be a vowel', which of the following letters would be included?
  • A. B
  • B. C
  • C. A
  • D. D
Q. In a constraint-based set, if the constraints are 'greater than 5' and 'less than 15', which of the following numbers is NOT included?
  • A. 6
  • B. 10
  • C. 15
  • D. 12
Q. In a constraint-based set, if the constraints are 'x is a multiple of 3 and x > 0', which of the following is NOT an element of this set?
  • A. 3
  • B. 6
  • C. 9
  • D. 10
Q. In a constraint-based set, if the constraints are 'x is a natural number and x < 10', which of the following is a valid element?
  • A. 10
  • B. 0
  • C. 5
  • D. −3
Q. In a constraint-based set, if the constraints are 'x is a positive integer and x is less than 10', which of the following is the largest element in the set?
  • A. 8
  • B. 9
  • C. 10
  • D. 7
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following sets would be valid?
  • A. {2, 4, 6, 8}
  • B. {1, 3, 5, 7}
  • C. {0, 1, 2, 3}
  • D. {-2, -4, -6, -8}
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following would be the new set if the original set was {1, 2, 3, 4, 5, 6}?
  • A. {2, 4, 6}
  • B. {1, 3, 5}
  • C. {1, 2, 3, 4, 5}
  • D. {2, 3, 4, 5, 6}
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following would be excluded?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a constraint-based set, if the constraints are modified to include only even numbers, which of the following elements would be excluded?
  • A. 2
  • B. 4
  • C. 5
  • D. 6
Q. In a constraint-based set, if the constraints are x < 0 and x > -5, which of the following values is valid?
  • A. -3
  • B. 0
  • C. -5
  • D. -6
Q. In a scenario where a set is defined as {x | x is a positive integer and x is less than 10}, which of the following is the largest element in this set?
  • A. 8
  • B. 9
  • C. 10
  • D. 7
Q. In a scenario where a set is defined as {x | x is an integer and x > 0}, which of the following is a valid operation on this set?
  • A. Adding a negative integer.
  • B. Removing all even integers.
  • C. Finding the union with the set of all negative integers.
  • D. Finding the intersection with the set of all positive integers.
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