1. Determine if MATH by using Venn Diagrams.

    2. MATH
          MATH

  2. Suppose that a geologist notes that of the 500 soil samples she has studied, 100 of them were wet, and 300 of them were chlorinated (i.e., had chlorine in them). She further notes that 50 of the samples were both wet and chlorinated.
    1. How many of the samples were chlorinated, but not wet?

      2. MATH
        MATH

    2. How many of the samples were neither chlorinated nor wet?
        3. MATH

  3. Suppose that the statements $p,q,$ and $r$ are given as follows.
        4. MATH
    1. Write the following symbolic statement in words.
        2. MATH
        MATH

    2. Write the following statement using symbols.
        3. MATH
        MATH

  4. Determine if the following argument is valid.
        5. MATH
        MATH

  5. Perform the addition problem.
        6. MATH
        MATH

  6. Convert the number 73 to base four.
        7. MATH
        MATH

  7. Convert each of the following to Hindu-Arabic (i.e., base 10) numbers.
    1. 2102$_{\text{three}}$

      2. MATH
       
    2. The Babylonian number

      3. MATH
      MATH

  8. Short Answer.
    1. Write the negation of the statement "All people are allergic to horses."

      2. MATH
       
    2. Find sets $A,B,$ and $C$ so that $A\cap B=\emptyset $ and MATH but MATH

      3. MATH
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