Question

Decide among the following sets, which sets are subsets of one and another:

A = {x : x $\in$ R and x satisfies $x^2-8x+12=0$},

B = {2, 4, 6}, C = {2, 4, 6, 8, .........}, D = {6}

Answer 1

Here A = {x : x $\in$ R and x satisfies $x^2-8x+12=0$}

= {x : x$\in$ R and (x - 6) (x - 2) = 0}

= {2, 6}

B = {2, 4, 6}

C = {2, 4, 6, 8,.........} and D = {6}

Now $A\subset B,A\subset C,B\subset C,D\subset A,D\subset BandD\subset C.$