Unit test: Extra points

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 the do not reason deductively, then you understand geometry.

• If you understand geometry, then you reason deductively.

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

Which of the following statements is the contrapositive of

"If you understand logic, you will be a good consumer."?

• If you are a good consumer, then you understand logic.

• If you understand logic, you will not be a good consumer.

• If you are not a good consumer, then you do not understand logic.

• If you do not understand logic, then you will not be a good consumer.

What is Logically Equivalent to

L→∼K?

• $∼L→K$

• $∼L∨K$
  

• $K→∼L$
  

• $K∨∼L$
  

Which of the following statements is logically equivalent to

"If you live in a mansion, then you have a big heating bill."?

• If you have a big heating bill, then you live in a mansion.

• If you live in a mansion, then you do not have a big heating bill.

• If you do not live in a mansion, then you do not have a big heating bill.

• If you do not have a big heating bill, then you do not live in a mansion.

Use DeMorgan’s Law to draw a valid conclusion:

∼(p∧∼q)

• $∼p∨q$

• $p\wedge\sim q$

• $\sim p\wedge q$

• $p\vee\sim q$

If-then statement is also called ___________________.

• Conjunction statement

• Disjunction statement

• Conditional statement

• Biconditional statement

Or statement is also called _____________________.

• Conjunction statement

• Disjunction statement

• Conditional statement

• Biconditional statement

And statement is also called _____________________.

• Conjunction statement

• Disjunction statement

• Conditional statement

• Biconditional statement

Which is an example of a proposition?

• Go away!

• please, sit down.

• Great idea.

• America is a continent.