2007
Mathematics
67ca00ce0c643c71d77dee1f
A binary operation Δ is defined by aΔb = a + b + 1 for any numbers a and b. Find the inverse of the real number 7 under the operation Δ, if the identity element is -1
A.
-7
B.
-9
C.
5
D.
9
Correct Answer: -9
Explanation
a*e = a + e + 1 = a implies e+ 1 = 0 ∴ e = -1 7 * e = -1 ∴ a + 7 + 1 = -1 a + 8 = -1 a+8 = -1 a = -1-8 a = -9
a*e = a + e + 1 = a implies e+ 1 = 0 ∴ e = -1 7 * e = -1 ∴ a + 7 + 1 = -1 a + 8 = -1 a+8 = -1 a = -1-8 a = -9THIS WEEK's
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