Choose the correct answers from the given four option: If X = {8n - 7n - 1 | n \(\in\) N} and Y = {49n - 49…

Choose the correct answers from the given four option:

If X = {8n - 7n - 1 | n \(\in\) N} and Y = {49n - 49 | n \(\in\) N}. Then

  1. \(\text{X} \cap \text{Y} = \phi\)

  2. \(\text{Y} \subset \text{X}\)

  3. \(\text{X} = \text{Y}\)

  4. \(\text{X} \subset \text{Y}\)

Solution

Solution:

X = {8n - 7n - 1| n \(\in\) N} = {0, 49, 490, .....}

Y = {49n - 49 | n \(\in\) N} = {0, 49, 147, ....., 490, .....}

Clearlut, every element of X is in Y but every element of Y is not in X.

\(\therefore \text{X}\subset\text{Y}\)

Asked in: NCERTEXAMPLER

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