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Math Chapter 3 Questions And Correct Answers

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MATH CHAPTER 3 QUESTIONS AND CORRECT ANSWERS Statement "all A are B" is expressed equivalently as ANSW-There are no A that are not B Some A are B can be equivalently expressed as ANSW-There exists at least one A that is a B No A are B can be equivalently expressed as ANSW-All A are not B Some A are not B can be expressed equivalently as ANSW-Not all A are B p v q = p or q but not both ANSW-False p --- q = p is sufficient for q ANSW-True

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MATH CHAPTER 3 QUESTIONS AND
CORRECT ANSWERS
Statement "all A are B" is expressed equivalently as ✅✅ANSW-There are no A that are not B



Some A are B can be equivalently expressed as ✅✅ANSW-There exists at least one A that is a B



No A are B can be equivalently expressed as ✅✅ANSW-All A are not B



Some A are not B can be expressed equivalently as ✅✅ANSW-Not all A are B



p v q = p or q but not both ✅✅ANSW-False



p ---> q = p is sufficient for q ✅✅ANSW-True



p ---> q = p is necessary for q ✅✅ANSW-False



p <---> q = p is necessary and sufficient for q ✅✅ANSW-True



p <---> q = if p then q, and if q then p ✅✅ANSW-True



A truth table for p v ~ p requires four different truth tables ✅✅ANSW-False



A truth table for p v ~ q requires four different truth tables ✅✅ANSW-True



A conditional statement p ---> q is false when ✅✅ANSW-p is true and q is false



Compound statement always true ✅✅ANSW-Tautology



Conditional statement always true ✅✅ANSW-Implications

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