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Review

Review. Symbols. Given the set of number symbols below, solve the following problems, writing your answers with the new number symbols. 0 -- α 5 -- θ. 1 -- β 6 -- κ. 2 -- γ 7 -- μ. 3 -- ε 8 -- π. 4 -- η 9 -- ☺. α + γ. μ · ε. ☺ μ θ - π.

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Review

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  1. Review

  2. Symbols

  3. Given the set of number symbols below, solve the following problems, writing your answers with the new number symbols.

  4. 0 -- α 5 -- θ

  5. 1 -- β 6 -- κ

  6. 2 -- γ 7 -- μ

  7. 3 -- ε 8 -- π

  8. 4 -- η 9 -- ☺

  9. α + γ

  10. μ · ε

  11. ☺ μ θ - π

  12. Sets of Numbers

  13. Identify the sets of numbers as either Real, Rational, Integers, Whole, or Natural.

  14. Give an example of an irrational number. _____________

  15. Give an example of an imaginary number. _____________

  16. Sets & Subsets (I know these problems look weird. Be nice to them anyway.)

  17. 1. Given the set A = {all integers} and B = {all natural numbers}, create a Venn Diagram showing the relationship between A and B.

  18. 2. Sets are composed of subsets, which are composed of subsets, which may also be made up of smaller subsets. Eventually, these can be broken down into elements. Based on this, if Z = {0, 2, 4, 6, 8, …}, then do the following: • Create a subset of Z. Name it Bob.

  19. Create a subset of Bob. Name it Larry.

  20. What elements to Bob and Larry have in common? What elements are unique to each of them?

  21. If Bob and Larry have things in common, could we create a new subset of Z with this group? Why or why not?

  22. 3. x is an element of set A. If the set of all integers is a subset of A, does x have to be an integer? Explain!

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