Mathematical Logic Quiz 2 (10 MCQs)

Quiz Instructions

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1. Given: If two lines are parallel, then they never intersect. Given: If two lines never intersect, then they have the same slope. Conclusion: If two lines are parallel, then they have the same slope.
2. Is this argument valid or invalid (if invalid, what fallacy is it using)?Premise 1: The penny just landed heads up 3 times in a row. Conclusion: The penny must land tails side up next.
3. A counterexample is an example that proves a conjecture to be true.
4. "Dear Professor, if I fail this class, my life will spiral out of control. I'll end up homeless and have to beg for change. It'll ruin my chances of going to medical school. So if you fail me, I will not be a doctor and people will die and it will be all your fault." This logical fallacy is called .....
5. If I comb my hair, then I won't have tangles.I have tangles.Therefore, I didn't comb my hair. Which law is being demonstrated?
6. A mathematically acceptable sentence is called a
7. Conditional:If you are a duck, then you drive a red car. What is this statement called:If you do not drive a red car, then you are not a duck.
8. Is the function linear or nonlinear?y = x$^{2}$ + 7
9. Determine whether the inverse of the following implication is true or false.IF $y-x>0$ $y>x$
10. What is the main focus of the task 'Identify the Mathematical Language'?