# Decide among the following sets, which are subsets of which:

Question:

Decide among the following sets, which are subsets of which:

$A=\left\{x: x\right.$ satisfies $\left.x^{2}-8 x+12=0\right\}$

$B=\{2,4,6\}, C=\{2,4,6,8, \ldots\}, D=\{6\}$

Solution:

We have:

$A=\left\{x: x\right.$ satisfies $\left.x^{2}-8 x+12=0 .\right\}=\{2,6\}$

B = {2, 4, 6}

= {2, 4, 6, 8,...}

D = {6}

Therefore, we can say that $D \subset \bar{A} \subset \bar{B} \subset \bar{C}$.