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urgent help needed please, thanks
Let A, B and C be any sets inside our universal set U. Decide whether each of the following statements is true or false. Justify your answers by giving a proof or a counterexample as appropriate.
a) A⊆B if and only if B'⊆A'
b) If A∩C ⊆ B∩C then A⊆B
X \ Y sets of elements in X but not Y. Y doesnt have to be a subset of X however if it is then X \ Y is the compliment of Y in X
this is how i did it however i dont think its right hence i need your help thanks
a) with these 2 venn diagrams it shows that this statement is false as the elements dont have to be in set A or B , please see the attatched file for the diagrams , im not sure please help thank you
b) With this venn diagram i think it shows the statement is true, this is as the set A has the the same elements that are also in set B therfore the statement is true. please help me out on this , see the attached document (i named the doc 2A for the first part n 2B for the second) thank you, please help
Homework Statement
Let A, B and C be any sets inside our universal set U. Decide whether each of the following statements is true or false. Justify your answers by giving a proof or a counterexample as appropriate.
a) A⊆B if and only if B'⊆A'
b) If A∩C ⊆ B∩C then A⊆B
Homework Equations
X \ Y sets of elements in X but not Y. Y doesnt have to be a subset of X however if it is then X \ Y is the compliment of Y in X
The Attempt at a Solution
this is how i did it however i dont think its right hence i need your help thanks
a) with these 2 venn diagrams it shows that this statement is false as the elements dont have to be in set A or B , please see the attatched file for the diagrams , im not sure please help thank you
b) With this venn diagram i think it shows the statement is true, this is as the set A has the the same elements that are also in set B therfore the statement is true. please help me out on this , see the attached document (i named the doc 2A for the first part n 2B for the second) thank you, please help
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