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Maths-

General

Easy

Question

If $X equals left curly bracket 4 to the power of n end exponent minus 3 n minus 1 blank colon n element of N right curly bracket$ and $Y equals open curly brackets 9 open parentheses n minus 1 close parentheses colon n element of N close curly brackets comma$ then $X union Y$ is equal to

$X$
$Y$
$N$
None of these

The correct answer is: $Y$

We have,
$X equals$ Set of some multiple of 9
and, $Y equals$ Set of all multiple of 9
$therefore X subset of Y rightwards double arrow X union Y equals Y$

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