SOLUTION: If a>b+c and d> b+a then: A. a>d B. b>a+d C. c>a-b D. d>c

Question 1100364: If a>b+c and d> b+a
then:
A. a>d
B. b>a+d
C. c>a-b
D. d>c
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
to prove the statements false, all you have to do is find an example where the statements are not true.

i started with a > b + c and assumed a was 10.
then b + c had to be smaller than 10.
i assigned 5 to b and 4 to c.
a = 10
b = 5
c = 4
a > b + c becomes 10 > 5 + 4 which becomes 10 > 9 which it true.

i then started with d > b + a.
b = 5 and a = 10 from the previous inequality.
this became d > 5 + 10 which meant that d > 15.
i chose d = 16.

i now have:
a = 10
b = 5
c = 4
d = 16

then i went through the selections.

A. a>d not true because 10 not greater than 16
B. b>a+d not true because 5 not greater than 26
C. c>a-b not true because 4 not greater than 5
D. d>c true because 16 > 4

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