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  4. The set -1, 0, 1 is not a multiplicative group because of the failure of

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Q. The set $\{-1, 0, 1\}$ is not a multiplicative group because of the failure of

KCETKCET 2008Relations and Functions - Part 2

Solution:

Let $G=\{-1,0,1\}$
Since, the multiplicative inverse of $0$ is not defined.
Hence, inverse law fails the multiplicative group.