Which of the following sets are finite or infinite.

The set of positive integers greater than $100$

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The set of positive integers greater than $100$ is an infinite set because positive integers greater than $100$ are infinite in number.

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Find the pairs of equal sets, if any, give reasons:

$A = \{ 0\} ,$

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$C = \{ x:x - 5 = 0\} ,$

$D = \left\{ {x:{x^2} = 25} \right\}$

$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $

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$\{ 1,4,9 \ldots 100\} $

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