Question

Which statement is logically equivalent to the following conditional statement?

If you have unlimited texting, then you will not be charged for overages.

If you are charged for overages, then you do not have unlimited texting.

If you are not charged for overages, then you do not have unlimited texting.

If you have unlimited texting, then you will be charged for overages.

If you do not have unlimited texting, then you will not be charged for overages.

Answer 1

@Elizabeth03

The only logically equivalent option is the contrapositive.

Think of another example:
If I am hungry, I ALWAYS eat my breakfast.

doesn't that also mean
If I don't eat breakfast, then I am NOT hungry?
since I promised that I always eat breakfast if I am hungry.

The contrapositive is making an equivalent statement by negating AND reversing the order of the conditions.

If you check the answer options, you will find one which has the conditions negated AND reversed. See also if the conclusion makes sense.

Answer 2

so the answer would be a

Answer 3

Correct! That's great! :)

Answer 4

Which statement is logically equivalent to the following conditional statement?

If you buy a ticket, you are allowed to enter the main gate.

If you are not allowed to enter the main gate, then you did not buy a ticket.

If you buy a ticket, you are not allowed to enter the main gate.

If you do not buy a ticket, you are allowed to enter the main gate.

If you are allowed to enter the main gate, then you did not buy a ticket.

thanks...so what about thus one?

Answer 5

Give it a try, and I'll tell you if you got the right answer.
It is very similar to the previous problem.

Answer 6

the answer would be a

Answer 7

right?

Answer 8

Right again! :)

Answer 9

What is the contrapositive of the following statement?

"If there is rain, then the dog will not bark."

If the dog will bark, then there is no rain.

If there is no rain, then the dog will not bark.

If the dog will not bark, then there is rain.

If there is no rain, then the dog will bark.

this one i believe is the same concept...the answer is a?

Answer 10

Sure you'll get this one too! :)

Answer 11

its a right?

Answer 12

Marvelous! :)

Answer 13

What is the inverse of the following statement?

"If a polygon does not have five sides, then the polygon is a rectangle."

If the polygon is a rectangle, then the polygon does not have five sides.

If the polygon is not a rectangle, then the polygon has five sides.

If the polygon does not have five sides, then the polygon is not a rectangle.

If the polygon has five sides, then the polygon is not a rectangle.


the answer would be D?

Answer 14

Which statement is logically equivalent to the following conditional statement?

If it has five sides, then it is not an octagon.

If it is not an octagon, then it has five sides.

If it does not have five sides, then it is not an octagon.

If it does not have five sides, then it is an octagon.

If it is an octagon, then it does not have five sides.