Find a counter example to show that the following statement is false:
for all nonzero real numbers a, b, c, d, a/b + c/d = a+c/b+d
a. a=3, b=5,c=-3,d=5
b. a=0, b=4,c=0,d=9
c. a=-2, b=1,c=2,d=1
d. a=1, b=2,c=1,d=2

Option D. is the answer.

Step-by-step explanation:

The given statement is

Now we have to find a counter example from the given options that the statement is False.

A. a = 3, b = 5, c = -3, d = 5

=

0 = 0

So the given statement is true.

B. a = 0, b = 4, c = 0, d= 9

0 + 0 = 0

So for this example the given statement is true.

C. a = -2, b = 1, c = 2, d = 1

0 = 0

Statement is true for these values.

D. a = 1, b = 2, c = 1, d = 2

Therefore, for these values of a, b, c and d, the given statement is False.

Option D. is the answer.

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