Unit 1 Exam - Logic

State if the conjecture is true or false.

If you live in Virginia, then you live in Alexandria.

• True

• False

State if the conjecture is true or false.

If you have your driver’s license, then you can drive.

• True

• False

State if the conjecture is true or false.

If you are in the 11^th grade, then you are a junior.

• True

• False

State if the conjecture is true or false.

If you are swimming, then you are in a pool.

• True

• False

Select the best answer.

Which of the following statements is the converse of:

"If the moon is full, then the vampires are prowling."

• If the vampires are prowling, then the moon is full.

• If the moon is not full, then the vampires are prowling.

• If the vampires are not prowling, then the moon is not full.

Which of the following statements is the inverse of:

"If you do not understand geometry, then you do not know how to reason deductively."?

• If you reason deductively, then you understand geometry.

• If you understand geometry, then you know how to reason deductively.

• If you do not reason deductively, then you understand geometry.

Identify which of the following statements is the contrapositive of:

“If it is an odd integer, then it is not divisible by two.”

• If it is not an odd integer, then it is divisible by two.

• If it is not divisible by two, then it is an odd integer.

• If it is divisible by two, then it is not an odd integer.

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.

Let p represent: you understand geometry

Let q represent: you are a logical thinker

You understand geometry and you are a logical thinker.

• p ↔ q

• p ⋀ q

• p ⋁ q

• p ∴ q

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.

Let p represent: you understand geometry

Let q represent: you are a logical thinker

If you do not understand geometry, then you are not a logical thinker.

• p → q

• p ↔ q

• ~q → ~p

• ~p → ~q

Translate the given statements into the correct symbolic notation. Use the symbolic statements found in the table below. Each statement will be used once.

Let p represent: you understand geometry

Let q represent: you are a logical thinker

If you are a logical thinker, then you understand geometry.

• p → q

• q → p

• p ↔ q

• p ∴ q