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A binary operation Ꚛ is defined by m Ꚛ n = mn + m – n

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A binary operation Ꚛ is defined by m Ꚛ n = mn + m – n, on the set of real numbers, for all m, n ϵ R. find the value of 3 Ꚛ (2 Ꚛ 4)

  • A. 25
  • B. 6
  • C. 15
  • D. 18

QUICK ANSWER…

C

SOLUTION 

To correctly solve this, we would firstly have to deal with the bracket, and then the answer obtained will be used to finally compute the answer.

If m n = mn + m – n,

Then 2 4 = (2 X 4) + 2 – 4

              = 8 + 2 – 4

              = 10 – 4

              = 6

Finally, using this 6 to complete the calculation, we have:

3 6 = (3 X 6) + 3 – 6                          

= 18 + 3 – 6

= 21 – 6 = 15

Now for the right answer to the above question:

  1. Option A is incorrect.
  2. Option B is incorrect.
  3. C is correct.
  4. D is not the correct answer.

QUICK TIPS…

You may please note these/this:

  • Remember to firstly use the operation to resolve the bracket, and then perform the final operation to obtain the answer.

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/culled from 2019 JAMB-UTME mathematics question 3/

A binary operation Ꚛ is defined by m Ꚛ n = mn + m – n » QuizTablet
A binary operation Ꚛ is defined by m Ꚛ n = mn + m – n » QuizTablet

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