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Represent the following sets in set notation: – Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -
  • a)
    A={x:x is an alphabet in English}, I={x:x is an odd integer>25}, I={2, 4, 6, 8 ….} I={x: x2 +5x+7=0 }
  • b)
    A={x:x is an alphabet in English}, I={x:x is an odd integer<25}, I={1, 3, 5, 7 ….} I={x: x2 +5x+7=0 }
  • c)
    A={x:x is an alphabet in English}, I={x:x is an odd integer £ 25}, I={1, 3, 5, 7 ….} I={x: x2 +5x+7=0 }
  • d)
    None
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Represent the following sets in set notation: Set of all alphabets in...
Set Notation

Set notation is a mathematical language used to represent a collection of objects or elements. It is denoted by enclosing the objects within braces {}. The following are the set notations for the given sets:

a) Set of all alphabets in English language
- A = {x: x is an alphabet in English}

b) Set of all odd integers less than 25
- I = {x: x is an odd integer and x < />
- I = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23}

c) Set of all odd integers
- I = {x: x is an odd integer}
- I = {1, 3, 5, 7, 9, ...}

d) Set of positive integers x satisfying the equation x^2 + 5x + 7 = 0
- I = {x: x is a positive integer and x^2 + 5x + 7 = 0}
- I = {} (empty set, as the given equation has no real solutions)

Explanation

a) Set of all alphabets in English language
- The set A is defined as the collection of all alphabets in the English language.
- The notation {x: x is an alphabet in English} means that the set contains all x such that x is an alphabet in English.

b) Set of all odd integers less than 25
- The set I is defined as the collection of all odd integers less than 25.
- The notation {x: x is an odd integer and x < 25}="" means="" that="" the="" set="" contains="" all="" x="" such="" that="" x="" is="" an="" odd="" integer="" and="" x="" is="" less="" than="" />
- The set I contains the elements 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, and 23.

c) Set of all odd integers
- The set I is defined as the collection of all odd integers.
- The notation {x: x is an odd integer} means that the set contains all x such that x is an odd integer.
- The set I contains all odd integers.

d) Set of positive integers x satisfying the equation x^2 + 5x + 7 = 0
- The set I is defined as the collection of all positive integers x satisfying the equation x^2 + 5x + 7 = 0.
- The notation {x: x is a positive integer and x^2 + 5x + 7 = 0} means that the set contains all x such that x is a positive integer and x satisfies the given equation.
- The equation x^2 + 5x + 7 = 0 has no real solutions, so the set I is empty.
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Represent the following sets in set notation: Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -a)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={2, 4, 6, 8 .} I={x: x2 +5x+7=0 }b)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }c)A={x:x is an alphabet in English}, I={x:x is an odd integer 25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }d)NoneCorrect answer is option 'B'. Can you explain this answer?
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Represent the following sets in set notation: Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -a)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={2, 4, 6, 8 .} I={x: x2 +5x+7=0 }b)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }c)A={x:x is an alphabet in English}, I={x:x is an odd integer 25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }d)NoneCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Represent the following sets in set notation: Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -a)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={2, 4, 6, 8 .} I={x: x2 +5x+7=0 }b)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }c)A={x:x is an alphabet in English}, I={x:x is an odd integer 25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Represent the following sets in set notation: Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -a)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={2, 4, 6, 8 .} I={x: x2 +5x+7=0 }b)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }c)A={x:x is an alphabet in English}, I={x:x is an odd integer 25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }d)NoneCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Represent the following sets in set notation: Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x2 +5x+7=0 : -a)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={2, 4, 6, 8 .} I={x: x2 +5x+7=0 }b)A={x:x is an alphabet in English}, I={x:x is an odd integer25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }c)A={x:x is an alphabet in English}, I={x:x is an odd integer 25}, I={1, 3, 5, 7 .} I={x: x2 +5x+7=0 }d)NoneCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
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