1.

Determine if the set A ={-1,1,3}is a proper subset of the set B={x:x in R and x^3-2x^2-x+2=0}

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SOLUTION :Solving `x^3-2x^2-c+2=0` we have `x^2(x-2)-1(x-2)=0`
or, `(x-2)(x^2-1)=0`
`:.`x=1,-1,2`
`:. B ={-1,1,2}`
`:.`A is not a subset of B.


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