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Question
If a binary operation * is defined on the set Z of integers as a * b = 3a − b, then the value of (2 * 3) * 4 is ___________ .
Options
2
3
4
5
Solution
5
Given: a * b = 3a − b
2 * 3 = 3 (2) \[-\] 3
= 6 \[-\] 3
= 3
(2 * 3) * 4 = 3 * 4
= 3 (3) \[-\] 4
= 9 \[-\] 4
= 5
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