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3.2 Statements & Negations

3.2 Statements & Negations
  • Math Help

    A set diagram for the rental policy in Example 2 can be drawn in many ways. The point of the example is not to learn to draw a specific type of set diagram.The point is to learn to use some means, either a set diagram or some other graphic or outline, to help analyze a statement. For instance, this rental policy has the following features.

    1. Resident must register each pet.
    2. Resident must pay a non-refundable fee of $20 per month for each pet.
    3. Any unregistered pet found on property will be disposed of.
    4. If an unregistered pet is found in your apartment, you must pay the pet fee for the entire time of your agreement.

    Rather than drawing a set diagram, perhaps your mind prefers other graphics or outlines to help you see events and plan strategies. Here is an example using a decision tree.

  • Consumer Suggestion

    Did you know that as a renter you are entitled to certain rights, such as:

    • the right to notification if the landlord enters your property
    • the right to withhold rent until major repairs are made
    • the right to recover your security deposit
    • and more.

    For more information on renters rights, check out

  • Checkpoint Solution

    You could use any number of diagrams or graphics to help understand this clause. Whatever you do, it should be clear that the clause is one-sided and greatly favors the owner.

    Here is one way to draw a set diagram to represent the court cost portion of the clause.

    Note that you might have to pay for other legal fees, in addition to the ones specified by your renter's agreement.

  • Comments (3)

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    system user
    Ron Larson (author)1 decade ago |
    Thanks. I like the decision tree also.
    system user
    Guest   1 decade ago |
    I like the decision tree diagram better. I find it easier to understand.
    system user
    Ron Larson (author)1 decade ago |
    After writing this example, I was surprised by how many comments I received from people in our office. Some people told me that the set diagram was confusing. Others told me that they would have drawn a diagram that was very different. If you find the set diagram in Example 2 to not be helpful, try looking at the decision tree diagram in Math Help above. Perhaps you will find it more helpful.