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(a) translate the argument into symbolic form and (b) determine if the argument is valid or invalid. You may compare the argument to a standard form or use a truth table.

If Nicholas Thompson teaches this course, then I will get a passing grade.

I did not get a passing grade.

∴ Nicholas Thompson did not teach the course.

  • Math-geometry -

    correct! this is called the contrapositive.

    p->q ≡ ~q->~p

    I will leave it to you to prove the identity with truth tables.

  • Math-geometry -

    Do it yourself.

  • Math-geometry -

    a swimming pool is built as follow;
    the top view is a rectangle 12ft by 30ft. the pool is 4 feet deep at the shallow end and 9 feet at the deep end. the sides walls are as shown. how many square ft of tile will it take to tile the two side walls and both end walls?

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