61). The set s of intervals with rational end points is a
| A). countable set |
| B). uncountable set |
| C). bounded set |
| D). none of these |
|
62). The union of finite collection of closed sets is
| A). bounded |
| B). open |
| C). closed |
| D). none of these |
|
63). 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 |
|
64). 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 |
|
65). Find the values of x which satisfy inequality |3x-2| > 5
| A). x lies inside the interval \( \left(-1,\frac{7}{3}\right) \) |
| B). x lies outside the interval \( \left(-1,\frac{7}{3}\right) \) |
| C). x lies inside the interval \( \left(+1,\frac{-7}{3}\right) \) |
| D). none of these |
|
66). Find the lub and glb of sets \(\Large \{ 1-\frac{1}{n};\ n\in N \}\)
| A). lub = 1; glb = 0 |
| B). lub = 0; glb = 1 |
| C). lub = -1; glb = 1 |
| D). none of these |
|
67). \(\Large \{ \frac{1}{5n}:n\in Z| n\ne 0 \}\)
| A). lub \(\Large =\frac{5}{2}\); glb\(\Large =\frac{3}{2}\) |
| B). lub \(\Large =\frac{-1}{5}\); glb\(\Large =\frac{3}{5}\) |
| C). lub \(\Large =\frac{1}{5}\); glb\(\Large =\frac{-1}{5}\) |
| D). none of these |
|
68). \(\Large \{ \frac{3n+2}{2n+1}n\in N \}\)
| A). lub \(\Large =\frac{3}{5}\); glb\(\Large =\frac{3}{2}\) |
| B). lub \(\Large =\frac{5}{3}\); glb\(\Large =\frac{3}{2}\) |
| C). lub \(\Large =\frac{-1}{3}\); glb\(\Large =\frac{3}{2}\) |
| D). none of these |
|
69). \(\Large \{ x:x=1+\frac{1}{n};n\in N\}\)
| A). lub = 1; glb = 0 |
| B). lub = 2 ; glb = 1 |
| C). lub = 3; glb = 0 |
| D). none of these |
|
70). {\( x : -5 < x < 3 \)}
| A). lub = -5; glb = 3 |
| B). lub = 3; glb = -5 |
| C). lub = 0; glb = -5 |
| D). none of these |
|
