Two statements are said to be logically equivalent,≡, if they have identical truth values for each possible value of their statement variables. (Corresponds to = with numbers)

refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.

"multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements.

conditional statement consists of two parts, a hypothesis the “if” clause and conclusion the “then” clause. For instance “If it rains, then they cancel school.” "It rains" is the hypothesis. "They cancel school" is the conclusion. what is the converse?

To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains."

conditional statement consists of two parts, a hypothesis the “if” clause and a conclusion the “then” clause. For instance, “If it rains, then they cancel school.” "It rains" is the hypothesis. "They cancel school" is the conclusion. what is the inverse

To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is “If it does not rain, then they do not cancel school.”

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain

a condition that must be present for an event to occur. A sufficient condition is a condition(s) that will produce the event. A necessary condition must be there, but it alone does not provide sufficient cause for the occurrence of the event.