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Mathematical Re...

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  • Question 1
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    The converse of "if $$x\in A\cap B$$ then $$x\in A$$ and $$x\in B$$", is

  • Question 2
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    $$(p\wedge\sim p)\wedge(p\vee q)$$ is a

  • Question 3
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    $$(\sim p\wedge q)\wedge q$$ is

  • Question 4
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    $$\sim(p\wedge q)\equiv$$

  • Question 5
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    Mary says "The number I am thinking is divisible by 2 or it is divisible by 3". This statement is false if the number Mary is thinking of is 

  • Question 6
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    What is true about the statement "If two angles are right angles the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?

  • Question 7
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    If statement $$p \rightarrow (q \vee r)$$ is true then the truth values of statements p, q, r respectively

  • Question 8
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    Consider the sentence: x<5 
    Which of the following integers makes this open sentence true?

  • Question 9
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    Which of the following statements is the inverse of "If you do not understand geometry, then you do not know how to reason deductively."?

  • Question 10
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    Which of the following statements is logically equivalent to "If you live in a mansion, then you have a big heating bill."?

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