00:01
In this problem, we have been given two sets, and we need to show that a is not a subset of b.
00:06
Now, a is given to be the set of all numbers x, says that x cubed minus 2x squared minus x plus 2 is equal to 0, and b is given to be the set containing the elements 1 and 2.
00:21
Now, first of all, let us substitute x as equal to negative 1 in this expression over here.
00:27
Then we get negative 1 cubed minus 2 times negative 1 squared minus negative 1 plus 2.
00:35
So negative 1 whole cubed is negative 1 minus 2 times negative 1 squared which is 1, minus of negative 1 that's plus 1 and here we have plus 2.
00:44
So we end up with negative 1, negative 2 plus 1 plus 2 and this is equal to 0.
00:50
So this is equal to 0 and that means that x is equal to negative 1 satisfies this equation.
00:56
And because of that, we can say that negative 1 belongs to the set a...