A binary operation \( \otimes \) is defined by \( m \otimes n = mn + m - n \) on the set of real numbers, for all m, n \( \in \) R. Find the value of \( 3 \...
Question 1 Report
A binary operation \( \otimes \) is defined by \( m \otimes n = mn + m - n \) on the set of real numbers, for all m, n \( \in \) R. Find the value of \( 3 \otimes (2 \otimes 4) \).
Answer Details
We are given the binary operation ⊗ defined by m⊗n = mn + m - n for all m, n in the set of real numbers R.
So, to find the value of 3⊗(2⊗4), we need to evaluate each operation in the parentheses first:
2⊗4 = 2 * 4 + 2 - 4 = 6
Next, we evaluate 3⊗6:
3⊗6 = 3 * 6 + 3 - 6 = 15
Therefore, 3⊗(2⊗4) = 15.
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