1.04 Module 1 Test Review

What law of logic is shown here:

• biconditional

• contrapositive

• detachment

• syllogism

Which law of logic is shown here:

• biconditional

• contrapositive

• detachment

• syllogism

Which law of logic is similar to the transitive property?

(a = b, b = c, therefore, a = c)

• contrapositive

• detachment

• syllogism

• biconditional

Which law of logic is shown below:

If it rains, the we'll bake cookies.

It's raining!

Now we'll bake cookies!

• biconditional

• contrapositive

• detachment

• syllogism

If we see John on Monday, then we can ask him over for lunch. We see John on Monday.

• John may eat with us.

• John saw us on Monday

• No conclusion can be made since the hypothesis did not occur.

• We asked John to have lunch with us.

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go hiking.

• If the sun is not shining, we will not go hiking.

• If the sun is shining then we will go hiking.

• No conclusion can be made.

• If we go hiking, then it is a beautiful day.

What is a valid conclusion to this situation:

If it's cold outside, then I'll wear a coat.

I'm not wearing a coat.

• Therefore, it's not cold outside.

• Therefore it's cold outside.

• Invalid

What is true about a counterexample?

• the premise is false and the result is true

• both the premise and result are true

• both the premise and result are false

• the premise is true, but the result is false

• x = 4

• x = -2

• x = 2

• x = -4

• The Earth is made primarily of rock.

• The sun is primarily made of hydrogen and helium.

• Jupiter is made primarily of hydrogen and helium.