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Consider the Set Q of rational numbers, and let * be the operation on Q defined by a*b=a+b-ab. Then 3*4 = _________.a.4b.-1c.-4d.-5

Question

Consider the Set Q of rational numbers, and let * be the operation on Q defined by ab=a+b-ab. Then 34 = _________.a.4b.-1c.-4d.-5

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Solution

To find the value of 34 using the given operation, we substitute a = 3 and b = 4 into the expression ab = a + b - ab.

So, 34 = 3 + 4 - (34).

Now, we can simplify the expression:

3*4 = 3 + 4 - 12.

Adding 3 and 4 gives us 7, and subtracting 12 from 7 gives us -5.

Therefore, 3*4 = -5.

The correct answer is d. -5.

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