PRACTICE TEST AND ANSWERS 2026
◉ List the set that satisfies the given condition: A positive odd
number or a positive number greater than 7. Answer: {1, 3, 5, 7, 8, 9,
10...}
◉ List the set that satisfies the given condition: Not a positive even
number. Answer: {..., -3, -2, -1, 0, 1, 3, 5, 7...}
◉ Write the negation of the quantified statement: All hot dogs taste
good. Answer: There is a hot dog that does not taste good.
◉ Write the negation of the statement: For all dogs, if it is small, then
it is mean. Answer: There is a dog that is small but not mean.
◉ Translate the following statement using symbols: "The bus is not
spacious or the taxi is crowded." Let s represent "The bus is
spacious," and let c represent "The taxi is crowded." Answer: ~sVc
◉ Create a truth table for the following statement: ~(pVq). Answer:
Table C
, ◉ You can either drink water and be healthy or drink soda and be
unhealthy. Answer: false dilemma
◉ Translate the following statement from symbolic notation into an
English sentence: ~(H^F). Let H represent "math is hard" and let F
represent "math is fun." Answer: "It is not the case that math is hard
and fun."
◉ Determine which of the following statements is a tautology.
Answer: ~(p^~p)
◉ Translate the statement from symbolic notation into an English
sentence. Let H represent math is hard, and let F represent math is
fun.
H <-> ~ F Answer: Math is hard if and only if math is not fun.
◉ Create a truth table for this statement: (p^q) -> r Answer: Table A
◉ Consider the statement, If you are a student, then you can use the
university library. Write the converse. Answer: If you can use the
university library, then you are a student.
◉ Write the negation of the conditional statement, If Jack orders
dinner, then he orders a drink. Answer: Jack orders dinner and he
does not order a drink.