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