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Help would be greatly appreciated :)

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Let a ,b,c  and d  be real numbers such that a > b  and c > d  Enter the letters of the statements below that must be true:

(A) a + c > b + d

(B) 2a + 3c > 2b + 3d

(C) a - c > b - d

(D) ac > bd

(E) a^2 + c^2 > b^2 + d^2

(F) a^3 + c^3 > b^3 + d^3

I know there is an algebraic way to solve this but I'm not sure. Can you guys help me out? Thanks.

May 23, 2020

#1
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You can prove that statement A, B, D, E, and F are true.

May 23, 2020
#2
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Hmm thats incorrect :/ thanks for the effort tho :)

May 24, 2020
#3
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You must be able to work out some of them!

There is no point in anyone answering for you if you do not put ANY effort into the question yourself.

Please no one else answer.  You will just stop this person from even attempting to learn anything.

May 24, 2020
#4
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I worked out the question :). Thanks for our warning though I never asked for the question to be solved I just wanted to be guided in the right direction but its all good.

thesoccerfish  May 24, 2020