Question

Are reciprocals equivalent?

Answer 1

This is the last part of a question. It is the multiplicative inverse, but a definition online said it was equivalent. What is the truth?

Answer 2

1/1 and 1/1 are equivalent

Answer 3

i think it is equal

Answer 4

but 2/1 and 1/2 are not equal

Answer 5

im sorry

Answer 6

Ya, the equation is 2x-5/4 and 4/2x-5 and is asking if they are equal.

Answer 7

I thought the obvious choice was that they weren't, but I wasn't sure.

Answer 8

okay thnx

Answer 9

cross multiply

Answer 10

kk

Answer 11

16=(2x-5)^2

Answer 12

Well, when cross multiplied they make 1/1 and 1/1. Does this mean reciprocals are equivalent?

Answer 13

\(\bf \cfrac{2x-5}{4}\ne \cfrac{4}{2x-5}\qquad \qquad \cfrac{2x-5}{4}\cdot \cfrac{4}{2x-5}=1\)

Answer 14

I'm still confused, they aren't equivalent?

Answer 15

equivalent to each other? no
is their product equivalent to 1? yes

Answer 16

Thank you!

Answer 17

yw