Which of the following is false?
A: If a set of real numbers is bounded above, then it must have a least upper bound [img=53x20]1802dde7ae54586.png[/img].
B: If a set of real numbers has a least upper bound [img=53x20]1802dde7ae54586.png[/img], then it must be bounded above.
C: If a set of rational numbers is bounded above, then it must have a least upper bound [img=54x22]1802dde7bf41b49.png[/img].
D: If a set of rational numbers has a least upper bound [img=54x22]1802dde7bf41b49.png[/img], then it must be bounded above.
A: If a set of real numbers is bounded above, then it must have a least upper bound [img=53x20]1802dde7ae54586.png[/img].
B: If a set of real numbers has a least upper bound [img=53x20]1802dde7ae54586.png[/img], then it must be bounded above.
C: If a set of rational numbers is bounded above, then it must have a least upper bound [img=54x22]1802dde7bf41b49.png[/img].
D: If a set of rational numbers has a least upper bound [img=54x22]1802dde7bf41b49.png[/img], then it must be bounded above.
举一反三
- Which of the following is true? A: Every bounded sequence is convergent. B: An increasing sequence, which is bounded above, must converge to its least upper bound. C: Since [img=126x25]1802dde7cf4d960.png[/img], [img=56x20]1802dde7d7ba725.png[/img] , by Pinching theorem, we have [img=115x33]1802dde7e0000c5.png[/img] for some [img=84x25]1802dde7e9df8c6.png[/img]. D: A sequence can be both convergent and divergent.
- Among the four sets of natural numbers, integers, rational numbers and real numbers, which one includes the others? A: The set of natural numbers B: The set of integers C: The set of rational numbers D: The set of real numbers
- Among the following alphabets, which represents the set of rational numbers? A: [img=17x19]1803e23ef7a8014.png[/img] B: [img=16x19]1803e23f0073511.png[/img] C: [img=16x23]1803e23f09992a8.png[/img] D: [img=13x19]1803e23f147ace0.png[/img]
- Among the following alphabets, which represents the set of real numbers? A: [img=17x19]1803e23f00fc6ff.png[/img] B: [img=16x19]1803e23f094d639.png[/img] C: [img=16x23]1803e23f11ad763.png[/img] D: [img=13x19]1803e23f19b956d.png[/img]
- Among the following alphabets, which represents the set of natural numbers? A: [img=15x19]1803e23ed5a1d4d.png[/img] B: [img=16x19]1803e23edda8313.png[/img] C: [img=16x23]1803e23ee60c466.png[/img] D: [img=13x19]1803e23eeeda8f3.png[/img]