Advanced Algebra (3 problems)


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Translate the following argument into symbolic form & determine whether it's logically correct by constructing a truth table.

If affirmative action policies are adopted, then minorities will be hired. If minorities get hired, then discrimination will be addressed. Therefore, if affirmative action policies are adopted, then discrimination will be addressed.

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Suppose that in a class of 50 students, 10 are married & 18 live at their parents' homes. It’s known that 3 of the married students live at their parents' homes.

A. Draw a Venn diagram of this information

B. How many students are single & do not live at their parents' homes?

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Make a simple flowchart in which you draw cards from a standard deck until you draw an ace.

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