If the binary operation \( \ast \) is defined by \( m \ast n = mn + m + n \) for any real number m and n, find the identity of the elements under this opera...

Assessment: JAMB UTME - Mathematics - 2021 Subject: General Mathematics

Question 1 Report

If the binary operation \( \ast \) is defined by \( m \ast n = mn + m + n \) for any real number m and n, find the identity of the elements under this operation

e = 1

e = -1

e = -2

e = 0

Answer Details

The identity element of a binary operation is an element "e" in a set such that for any element "x" in the same set, the result of the binary operation "e * x" or "x * e" is equal to "x". In other words, it's an element that doesn't change the result when it's multiplied with any other element. In this case, if we set "m = e" and "n = 0", the equation becomes: "e * 0 + e + 0 = e". This means that the identity element for this binary operation is "e = 0". So, the answer is: "e = 0".

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Binary Operations

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If the binary operation \( \ast \) is defined by \( m \ast n = mn + m + n \) for any real number m and n, find the identity of the elements under this opera...

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