Logic

Question 1

Conditional statements

Answer 1

p –> q (if p then q)

Question 2

Inverse

Answer 2

~p –> ~q (if not p then not q)

Question 3

Converse

Answer 3

q –> p (switch the conclusion and the hypothesis)

Question 4

Contrapositive

Answer 4

~q –> ~p (if not q then not p)

Question 5

Biconditional statement

Answer 5

p <–> q, (p if and only if q)

Question 6

Biconditional statements are only true when-

Answer 6

Both conditional and converse statements are true.

Question 7

Law of detachment

Answer 7

When given a conditional statement, if the hypothesis is true then the conclusion if true. p –> q, p therefore q

Question 8

Law of syllogism

Answer 8

Allows you to draw a conclusion from 2 conditional statements in which the conclusion of the first statement is the hypothesis of the second statement

Question 9

V

Answer 9

Or/union

Question 10

A

Answer 10

And/intersection