Decide among the following sets, which are subsets of which: `A={x : x` satisfies `x^2-8x+12=0},\ B={2,4,6},\ C={2,4,6,8 },\ D={6}dot`

Explanation

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

Solving, `x^2-8x+12=0`

`x^2-6x-2x+12=0`

`x(x-6)-2(x-6)=0`

`x=2, 6`

`: A={2, 6}`

So `A` is subset of `B` and `C`