Venn diagrams, set notation, and basic logical statement vocabulary for an introductory high school math course.
30 cards · basic cards · AI-written, checked twice. Edit anything.
- What does ∈ mean?
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is an element of, or is a member of- What does A' or A^c represent?
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the complement of set A, all elements not in A- What does |A| mean?
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cardinality of set A, the number of elements in A- What is the universal set?
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the set containing all elements under consideration in a given problem- When are two sets equal?
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when they contain exactly the same elements- What are disjoint sets?
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sets that have no elements in common, their intersection is empty- What is a conjunction in logic?
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a logical AND operation, true only when both statements are true- What is a disjunction in logic?
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a logical OR operation, true when at least one statement is true- What is negation in logic?
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a logical NOT operation, it reverses the truth value of a statement- What is an implication or conditional statement?
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an if-then statement, false only when the condition is true and the result is false- What is a biconditional statement?
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an if-and-only-if statement, true when both parts have the same truth value- State De Morgan's Law for AND
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NOT(P AND Q) is equivalent to (NOT P) OR (NOT Q)- State De Morgan's Law for OR
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NOT(P OR Q) is equivalent to (NOT P) AND (NOT Q)- What is a truth table?
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a table showing all possible truth value combinations and the results of logical operations- What is a tautology?
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a statement that is always true regardless of the truth values of its parts
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