# Math

posted by .

"If Tom buys a red skateboard, then Anne buys pink in-line skates." Which statement below is logically equivalent?
A. If Anne does not buy pink in-line skates, then Tom does not buy a red skateboard.
B. If Tom does not buy a red skateboard, then Anne does not buy pink in-line skates.
C. If Anne buys pink in-line skates, then Tom buys a red skateboard.
D. If Tom buys a red skateboard, then Anne does not buy pink in-line skates.

is it B

• Math -

no, it is (A) - the contrapositive

Just because you know what happens when Tom buys a red skateboard, that does not mean you know anything about what happens when he does not. The inverse is not always true.

## Similar Questions

1. ### math

Three men (Tom, peter, and jack)and three women (Eliza, Anne, and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her owm cottage. There are no others staying in …
2. ### math

Three men (Tom, peter, and jack)and three women (Eliza, Anne, and Karen) are spending a few months at a hillside. They are to stay in a row of nine cottages, each one living in his or her owm cottage. There are no others staying in …
3. ### math

Five members of a family are standing in line at a carnical ride.A girl is at the front and an adult is at the back. Tom is 3rd in line.Which list could be the order of the line from first to last?

Tom buys a shirt for \$22.00 plus 7% sales tax. His cousin buys a shirt for \$18.00 plus 4% sales tax. a. How much do Tom and his cousin pay for the shirts?
5. ### math

If Tom buys a red skateboard, then Anne buys pink in-line skates." Which statement below is logically equivalent?
6. ### Algebra

Using two lawnmowers and working together Tom and Anne can mow the lawn in 36 minutes. It takes Anne 90 minutes if she mows the lawn herself. How long would it take Tom to do the job working alone?
7. ### Biology

You find 3 trees where each tree gives a different coloured fruit: red, pink or orange. You perform crosses between all three trees and get the following results: P: red x pink ---F1: ½ red: ½ pink P: red x orange --- F1: ½ red: …
8. ### English

1. He is less tall than Tom. 2. Tom is taller than he. 3. He is less smart than Tom. 4. Tom is smarter than he. 5. He is less big than Tom. 6. Tom is bigger than he. 7. He is less careful than Tom. 8. Tom is more careful than he. 9. …
9. ### Matrh

Anne & Tom competed in the 200m long distance swimming race. After the first 50 meters, Anne had gained 2 seconds against Tom's time. Over the next three laps, Tom gained 1.5 seconds, then lost 2.1 seconds and then gained 1.7 seconds. …
10. ### Maths

Anne & Tom competed in the 200m long distance swimming race. After the first 50 meters, Anne had gained 2 seconds against Tom's time. Over the next three laps, Tom gained 1.5 seconds, then lost 2.1 seconds and then gained 1.7 seconds. …

More Similar Questions