Conditionals/Unit 2

Question 1

Conditional (4ex. IT.I.IM.O)

Answer 1

An if then statement

Ex.
if P(hypothesis), then q(conclusion)
q if P
P implies q
P only if q

Question 2

Converse

Answer 2

If q, then p

Question 3

Is the Converse of a conditional always true?

Answer 3

No, if u can think of one instance it is false, the entire sentence is false and is called a counterexample.

Question 4

Converse of Conditional is true

Answer 4

Biconditional

Question 5

Inverse

Answer 5

If not P, then not Q

Question 6

Contrapositive

Answer 6

If not q, then not p

Question 7

Conditional/Converse
Inverse/Contrapositive

Conditional: If it is raining, then the ground is wet

Answer 7

Conditional: If it is raining, then the ground is wet
Converse: If the ground is wet, then it is raining
Inverse: if it is not raining, then the ground is not wet
Contrapositive: If the ground is not wet, then it is not raining

Question 8

Which are logically equivalent

Answer 8

Conditional&Counterpositive