Inequality relationship when additing a constant to the denominators When a b </m

Raul Walker

Raul Walker

Answered question

2022-07-10

Inequality relationship when additing a constant to the denominators
When a b > c d where a , b , c , and d are positive real numbers, is a b + 1 > c d + 1 true?

Answer & Explanation

Jenna Farmer

Jenna Farmer

Beginner2022-07-11Added 17 answers

No: 1 2 > 2 5 , but 1 3 = 2 6 .
Pattab

Pattab

Beginner2022-07-12Added 2 answers

a b > c d a d b c b d > 0 a d > b c
Now
a b + 1 c d + 1 = a d + a ( b c + c ) ( b + 1 ) ( d + 1 )
will be < 0 if a d + a ( b c + c ) < 0 a d b c < c a

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?