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Let a, b, c, and d be real numbers such that a > b and c > d. Which of the below statements are 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 got A, B, C, and F, but it's apparently not right. Can I get some help?

 May 13, 2021
 #1
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A is correct

B is correct

C not correct

D not correct

E not correct

F is correct

 

I think C is not correct because a = 4, b = 2, c = 3, d = -2. 4 - 3 > 2 - -2

 

=^._.^=

 May 13, 2021

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