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Asked by Gerda Last Modified
Answer As a seasoned tutor registered on UrbanPro, I can confidently guide you through this question. UrbanPro is renowned for its top-notch online coaching services, and I'm here to provide you with the best assistance.
Let's address each part of the question:
(i) To express the set where n∈Xn∈X but 2n∉X2n∈/X, we need to identify the elements of XX that meet this condition. Since X={1,2,3,4,5,6}X={1,2,3,4,5,6}, we need to find elements nn such that n∈Xn∈X and 2n∉X2n∈/X.
The elements of XX for which 2n2n is not in XX are n=1,3,4,5,6n=1,3,4,5,6. So, the set we're looking for is {1,3,4,5,6}{1,3,4,5,6}.
(ii) To express the set where n+5=8n+5=8, we need to find the value of nn that satisfies this equation. Subtracting 5 from both sides, we get n=3n=3. So, the set is {3}{3}.
(iii) To express the set where nn is greater than 4, we look for elements in XX that satisfy this condition. Those elements are n=5,6n=5,6. Therefore, the set is {5,6}{5,6}.
So, summarizing: (i) {1,3,4,5,6}{1,3,4,5,6} (ii) {3}{3} (iii) {5,6}{5,6}
I hope this clarifies the question for you. If you have any further queries or need additional assistance, feel free to ask! Remember, UrbanPro is here to support your learning journey every step of the way.
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