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
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
