MATHEMATICS

JAMB 2008 - Question 21

Mathematics 2008 JAMB Past Questions - Question 21: A binary operation * defined on the set of positive integers is such that x*y =2x-3y+2 for all positive integer x and y .The binary operation is

A binary operation * defined on the set of positive integers is such that x*y =2x-3y+2 for all positive integer x and y .The binary operation is
A:
B:
C:
D:
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Correct Answer

B

Explanation

x , y = 2y - 3y + 2, y.x = -3y + 2y + 2 closed and comm.The binary operation * defined on the set of positive integers is given by the equation:x * y = 2x - 3y + 2This means that when we perform the operation * between two positive integers x and y, we substitute their values into the equation and evaluate the expression.For example, if we have x = 4 and y = 2, we can calculate:4 * 2 = 2(4) - 3(2) + 2      = 8 - 6 + 2      = 4So, in this case, the result of the operation 4 * 2 is 4.Therefore, the binary operation * defined on the set of positive integers is given by the equation x * y = 2x - 3y + 2.