B={x : x ∈ 1, -3 < x < 3) in tabular form
by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The normal use of ∈ ("belongs to") in the representation of a set is to define the category of the variable x. For example x∈ℤ would mean that x is an integer, that is, x belongs to the set of all integers; x∈ℝ would mean that x is a real number (that is, not complex), that is, x belongs to the set of all real numbers. So the symbol ∈ is used to say "x belongs to the set of ...". x∈1 does not make any sense to me as used in this context, because "1" is not a set. If it were intended to be a set it should appear in braces: "{1}", in which case the tabular form would be {1}, because 1 lies in the interval (-3,3). This defines the set B, and below are more examples of how this set could be defined.

If B={ x : x ∈ ℤ, -3 < x < 3 } then the tabular form would be:

B={ -2, -1, 0, 1, 2 } which is integers between -3 and 3 (exclusive).

If B={ x : x ∈ ℕ, -3 < x < 3 } then the tabular form would be:

B={ 1, 2 } which is all natural numbers between -3 and 3 (exclusive).

by Top Rated User (1.2m points)

Related questions

1 answer
asked Jun 19, 2021 in Trigonometry Answers by bulaaa Level 1 User (120 points) | 711 views
1 answer
asked Jun 11, 2023 in Trigonometry Answers by Kelsy | 718 views
1 answer
1 answer
asked Oct 28, 2021 in Trigonometry Answers by 1ajb999 Level 1 User (400 points) | 367 views
1 answer
asked Oct 16, 2021 by 1ajb999 Level 1 User (400 points) | 357 views
1 answer
0 answers
1 answer
asked Sep 7, 2012 in Word Problem Answers by anonymous | 909 views
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,515 questions
100,352 answers
2,420 comments
766,105 users