MATH 110 EXAM 3 2026 PRACTICE TEST SHEET FULL SOLUTIONS CORRECT ANSWERS GUARANTEED PASS.pdf

MATH 110 EXAM 3 2026 PRACTICE TEST SHEET
FULL SOLUTIONS CORRECT ANSWERS
GUARANTEED PASS

◉ Conjecturing.
Answer: Inferring or predicting from incomplete evidence; making a
statement


◉ Investigation.
Answer: uses reasoning to find answers
ex. odd+odd=even
even+even=even
even+odd=odd


◉ Counterexample.
Answer: an example that disproves a statement


◉ Negation.
Answer: ~A; NOT; S: Today is Thursday; N: Today is NOT Thursday


◉ conditional statement.

,Answer: If A, then B (-_>) (double bar arrow means implies)


◉ converse.
Answer: If B, then A
ex. S- If today is TH, then tomorrow is F.
Converse- If tomorrow is F, then today is TH.


◉ Inverse.
Answer: If not A, then not B
ex. S- If today is TH, then tomorrow is F.
Inverse- If today is not TH, then tomorrow is not F.


◉ Contrapositive.
Answer: If not B, then not A
ex. S-If today is TH, then tomorrow is F.
Contrapositive- If tomorrow is not F, then today is not TH.


◉ everyday language to conditional language.
Answer: Every dog is a mammal -> If it is a dog, then it is a mammal


◉ not all vs. all not.
Answer: S- All Americans are Pennsylvanians

, Negation- Not all Americans are Pennsylvanians
WRONG negation- all Americans are not Pennsylvanians


◉ Roster method.
Answer: Listing each item in a set within braces {0,1,2,3,4}


◉ Informal word description.
Answer: {whole #s less than 5}


◉ set builder notation.
Answer: {x| xEW, x<5}


◉ set.
Answer: a collection of objects called elements


◉ element.
Answer: an object in the set


◉ E (symbol not really an E).
Answer: is an element of


◉ cardinality.