Introduction to Logic and Geometric Proofs

What is the negation of the statement 'The Oakland Raiders have always played in Oakland'?

• The Oakland Raiders have sometimes played in Oakland.

• The Oakland Raiders have not always played in Oakland.

• The Oakland Raiders will always play in Oakland.

• The Oakland Raiders have never played in Oakland.

Which symbol represents a conjunction in logic?

• A straight line

• A regular V

• An upside-down V

• A squiggly line

In a conjunction, when is the compound statement true?

• When both statements are true

• When neither statement is true

• When at least one statement is true

• When both statements are false

What is the truth value of the statement: 'One foot is 14 inches and September has 30 days'?

• Partially true

• True

• False

• Cannot be determined

In a disjunction, when is the compound statement false?

• When neither statement is false

• When both statements are false

• When at least one statement is true

• When both statements are true

What does a truth table help us determine?

• The truth value of a statement

• The pattern of a logic statement

• The complexity of a statement

• The length of a geometric proof

In a truth table, what does the negation of a true statement become?

• Partially true

• Undefined

• False

• True

What is a Venn diagram used for in logic?

• To measure angles

• To solve algebraic equations

• To illustrate conjunctions and disjunctions

• To calculate probabilities

In a Venn diagram, what does the intersection of two sets represent?

• A conjunction

• A negation

• A disjunction

• An implication

How many people can attend both May and June meetings according to the Venn diagram example?

• 5

• 25

• 6

• 14