math 110-with accurate answers
Statement - Answers-Declarative sentence that is either true or false
Simple Statement - Answers-contains a single idea
Compound Statement - Answers-contains several ideas combined together
Connectives - Answers-words used to join ideas of a compound sentence
Negation - Answers-a statement expressing an idea that something is not true
Conjunction - Answers-expressing the idea of "and"
Disjunction - Answers-conveys the notion of "or"
Conditional - Answers-expresses the notion of "if...then" symbol is single arrow
Biconditional - Answers-represents the idea of "if and only if" symbol is a double arrow
Universal Quantifiers - Answers-words such as "all" and "every that state that all objects
of a certain type satisfy a given property
Quantifiers - Answers-tells us how many and falls into two categories. which are universal and existential
Existential quantifiers - Answers-words such as some, there exists, and there is at least one that state that there are one or more objects that satisfy a given property
Truth Table - Answers-often used to determine whether compound statements are true or false, for all possible truth values of the statements being used.
If p is true then ~p is false. Same for the opposite - Answers-rule of negation in truth table
(p ^q) is true only when both of its components are true. - Answers-rule of conjunction in
truth table
a disjunction (p\/ q) is true as long as at least one of its components is true - Answers-
rule of disjunction in truth table
A disjunction (p\/q) is false only when both of its components are false - Answers-rule of
disjunction in truth table
1) expression in parenthesis
2) within the parenthesis, start with the negation, then the "and/or symbol"
3) negation outside parenthesis
4) "and/or" symbol outside parenthesis - Answers-steps of operations
Statement - Answers-Declarative sentence that is either true or false
Simple Statement - Answers-contains a single idea
Compound Statement - Answers-contains several ideas combined together
Connectives - Answers-words used to join ideas of a compound sentence
Negation - Answers-a statement expressing an idea that something is not true
Conjunction - Answers-expressing the idea of "and"
Disjunction - Answers-conveys the notion of "or"
Conditional - Answers-expresses the notion of "if...then" symbol is single arrow
Biconditional - Answers-represents the idea of "if and only if" symbol is a double arrow
Universal Quantifiers - Answers-words such as "all" and "every that state that all objects
of a certain type satisfy a given property
Quantifiers - Answers-tells us how many and falls into two categories. which are universal and existential
Existential quantifiers - Answers-words such as some, there exists, and there is at least one that state that there are one or more objects that satisfy a given property
Truth Table - Answers-often used to determine whether compound statements are true or false, for all possible truth values of the statements being used.
If p is true then ~p is false. Same for the opposite - Answers-rule of negation in truth table
(p ^q) is true only when both of its components are true. - Answers-rule of conjunction in
truth table
a disjunction (p\/ q) is true as long as at least one of its components is true - Answers-
rule of disjunction in truth table
A disjunction (p\/q) is false only when both of its components are false - Answers-rule of
disjunction in truth table
1) expression in parenthesis
2) within the parenthesis, start with the negation, then the "and/or symbol"
3) negation outside parenthesis
4) "and/or" symbol outside parenthesis - Answers-steps of operations
