The set Q is a


A) countable set

B) uncountable set

C) bounded set

D) none of these

Correct Answer:
A) countable set


Part of solved Real Analysis questions and answers : >> Elementary Mathematics >> Real Analysis








Comments

No comments available




Similar Questions
1). Every subset of a countable sets is
A). countable
B). uncountable
C). bonnded
D). none of these
-- View Answer
2). The union of any collection of open sets is
A). closed
B). open
C). bounded
D). unbdunded
-- View Answer
3). Intersection of finite collection of open sets is
A). open
B). closed
C). bounded
D). none of these
-- View Answer
4). A set s id closed \(\Leftrightarrow\)
A). \(\overline{s}=s\)
B). \(s\ne s\)
C). \(s < s\)
D). \(s>s\)
-- View Answer
5). Compact implies
A). bounded only
B). closed only
C). closed and bounded
D). none of these
-- View Answer


6). In Euclidean space \(R^{k}\) every cauchy sequence is
A). convergent
B). divergent
C). bounded
D). none of these
-- View Answer
7). The set s of intervals with rational end points is a
A). countable set
B). uncountable set
C). bounded set
D). none of these
-- View Answer
8). The union of finite collection of closed sets is
A). bounded
B). open
C). closed
D). none of these
-- View Answer
9). Find the sup and inf of the set A = {-1, -2, -3,...}
A). sup = -1; inf \(\in\)A
B). sup \(\in\)A; inf = -1
C). sup = -1; inf = -2
D). none of these
-- View Answer
10). Find thegvalues of x which satisfy the inequality \(|4-5x|\le 6\)
A). numbers in the open interval \(\Large \left(\frac{-2}{5},2\right) \)
B). numbers in the closed interval \(\Large \left(\frac{-2}{5},2\right) \)
C). numbers in the closed interval [0, 1]
D). none of these
-- View Answer