Examples

A = (0, 1, 2)

$A = (0, 1, 2)$ ,

B = (0, 1, 2, 10)

$B = (0, 1, 2, 10)$

Step 1

A

$A$ is a subset of

B

$B$ and

A

$A$ is not equal to

B

$B$ , which is the definition of a proper subset..

A = (0, 1, 2)

$A = (0, 1, 2)$ is a proper subset of

B = (0, 1, 2, 10)

$B = (0, 1, 2, 10)$

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⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$