00:01
Hello students, today we will discuss about this question.
00:05
In this question, we need to prove that or disprove the following examples.
00:12
That is, first one is, if x is a subset of y and x is a subset of z, then we need to prove that x is a subset of y and z.
00:28
After that, in part b, we need to prove that if x is a subset or equals to y and y is subset or equals to z, then we need to prove that x is a subset or equals to z.
00:49
So here, for the part a, first of all, we know that a is subset or equals to b.
00:57
That means if and only if for every suppose a is subset or equals to be then if and only if for every x belongs to a that implies that x belongs to b and x belongs to b and x belongs to a if and only if x belongs to a and x belongs to b and a is a subset of b means a is subset r equals to b and there is one that b belongs to capital b such that but b does not belongs to capital a.
01:45
So here for the first one we are given that x is a subset of y and y is a subset of z.
01:55
This will be suppose equation 1.
01:57
Now to show x is a subset of y and z...