Question

A certain job requires that applicants have a college degree and no felony convictions. (a) Using D for a college degree and F for a felony conviction, write the requirements using set symbols. (b) If you have no felony convictions and no college degree, are you qualified? (Yes or No)

Answer 1

As we need applicants to have a college degree and no felony convictions, so they must belong to set D and mustn't belong to set F.

This can be represented using set symbols as -

Where 'A' is a randomly chosen person.

This can be represented using Venn diagram as shown -

So, these are people belonging to the set:

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No degree and no felony charge means -

As this is not the criteria for job application, so you are not qualified if you belong to this set.

Thus, answer is No.

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