Question

Which statement is the contrapositive of the given statement?

If a person is a banjo player, then the person is a musician
a)If a person is not a musician, then the person is not a banjo player.
b)If a person is not a banjo player, then the person is a musician.
c)If a person is not a banjo player, then the person is not a musician.
d)If a person is a musician, then the person is a banjo player.
Please help!!!

Answer 1

reverse the ORDER of statements and NEGATE

Answer 2

original statement : If a person is a banjo player, then the person is a musician

contrapositive : if a person is NOT a musician, then the person is NOT a banjo player

Answer 3

thanks soooo much! could u do another?

Answer 4

sure ;) did u get the contrapositive thingy

Answer 5

yes thanks.
How are the two statements given below related to each other?
X: If you run for 10 minutes, then you will raise your heart rate.
Z: If you do not run for 10 minutes, then you will not raise your heart rate.
a)Z is the contrapositive of X.
b)Z is the converse of X.
c)Z is the inverse of X.
d)Z is the retrograde of X.

Answer 6

if you observe you're only negating both statemetns, without changing the order, right ?

Answer 7

X: If you run for 10 minutes, then you will raise your heart rate.
Z: If you DO NOT run for 10 minutes, then you will NOT raise your heart rate.

Answer 8

between X and Z, you have only added NOT

Answer 9

in inverse, you negate the statemetns, but keep the order same

Answer 10

so its inverse?