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# If A ( B and B ( C, can you conclude that A ( C ? can you conclude that A ( C?

If A ( B and you conclude that A ( C? CAN YOU CONCLUDE THAT A ( C?
if A ( B and B ( C, can you conclude that A ( C? can you conclude that A ( C?
iF A ( B and B 9 C, can you conclude that A ( C? can you conclude that A ( C?

write down all possible subsets of {a,b,c,d}
3. without writing them down what are the number of subsets of the set A= {b,c,d,} and B= {c,e,f,g,}
4. given u= { all letters of the alphabet} A= [{b,c,d,} and B= {c,e,f,g,}list the elements of set.
5. write the following in roster form: set j is the set of natural numbers between one and seven
6 state whether set A and B are equal, equivalent, both or neither. A={9,8,10} B= {8,9,10}
7. express the following in set builder notation: M= {1,2,3,4,5}

#### Solution Preview

If A ( B and B ( C, can you conclude that A ( C ?

yes, every element of A is an element of B, which in turn is an element of C; so every element of A is an element of C

write down all possible subsets of {a,b,c,d}

there are 2^4 = 16 subsets:

{}, {a}, {b}, ...

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