An operation (*) is defined on the set T = {-1, 0, ...., 5} by x * y = x + y - xy. Which of the following operation(s) will give an image that is an element of T?
I. 2(*)5 II. 3(*)2 III. 3(*)4
Given ( x * y = x + y - xy ), and ( T = {-1, 0, 1, 2, 3, 4, 5} ):
I. (2 * 5 = 2 + 5 - 10 = -3 \(\notin T\)) ❌
II. (3 * 2 = 3 + 2 - 6 = -1 \(\in T\) ✅
III. (3 * 4 = 3 + 4 - 12 = -5 \(\notin T\)) ❌
✅ Answer: Only II (3 * 2) gives an element of T.
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