Quiz 6

  1. Is the formula $(x+5)^2 = x^2 + 25$ always true? If it is, find a way to prove that it is true. If it is not, provide a counterexample (a value of $x$ which shows that the formula is not always true).
  2. Write down all the subsets of the ...
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Quiz 2

  1. What conclusions can you draw, given the premises below:

    1. $ \mathbf{P \to Q}$, $\mathbf{P}$
    2. $ \mathbf{P \to Q}$, $\mathbf{\lnot Q}$
    3. $ \mathbf{A \to B}$, $\mathbf{B \to C}$

  2. If $x$ is evenly divisible by 2 and $y$ is evenly divisible by 2, then $x$ is evenly divisible by ...

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