Math 290 Exam questions with detailed accurate answers available and graded A+

Proper Subset - ANSA subset different from the original set Cardinality - ANSThe number of elements in a set: |S| Universal set - ANSincludes all possible choices for a given set's elements Compliment - ANSAll elements in the Universal, except those in a given set Set - ANSA collection of elements (no repetition, order does not matter) Subset - ANSA set consisting of elements from a given set Statement - ANSA sentence with a truth value Logical connective - ANScombines simple statements into compound statements Conjunction - ANSp ∧ q (p and q) Disjunction - ANSp ∨ q (p or q) Negation - ANSnot P (has the opposite truth value) Implication - ANSif p, then q Biconditional statement - ANSp if and only if q Tautology - ANSa formula that is always true Contradiction - ANSa formula that is never true Rule 6 - ANS~(p = q) is logically equivalent to (p ∧ ~q) Open sentence - ANSa declarative sentence with one or more undefined variables Commutative laws - ANSp ∨ q ≡ q ∨ p p ∧ q ≡ q ∧ p Associative laws - ANS(p ∨ q) ∨ r ≡ p ∨ (q ∨ r) (p ∧ q) ∧ r ≡ p ∧ (q ∧ r)