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Question: Answered & Verified by Expert
If $\mathrm{X}=\left\{\mathrm{x}: \mathrm{x}>0, \mathrm{x}^{2} < 0\right\}$, and $\mathrm{Y}=$ flower, Churchill, moon, Kargil), then which one of the following is a correct statement?
MathematicsSets and RelationsNDANDA 2006 (Phase 2)
Options:
  • A $\mathrm{X}$ is well defined but $\mathrm{Y}$ is not a well defined set
  • B $\mathrm{Y}$ is well defined but $\mathrm{X}$ is not a well defined set
  • C Both $\mathrm{X}$ and $\mathrm{Y}$ are well defined sets
  • D Neither X nor Y isa well defined set
Solution:
1406 Upvotes Verified Answer
The correct answer is: Both $\mathrm{X}$ and $\mathrm{Y}$ are well defined sets
$X=\left\{x: x>0, x^{2} < 0\right\}$
We know that the square of each number greater thar zero is always greater than zero. So, X contains member and so, $\mathrm{X}$ is null set but a well defined set Also, $\mathrm{Y}=\{$ flower, Churchill, Moon, Kargil\} is wel
defined. So, Y is also a well defined set

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