Q96 / 170 · Manipal (MET) 2019 · Mathematics

Equation $x * a=b$ has ijn group $(G, \forall)$

  • Correct answer
    A
    unique solution $b * a^{-1}$
  • B
    unique solution $a^{-1} * b$
  • C
    unique solution $a^{-1} * b^{-1}$
  • D
    many solutions

Solution

Unique solution of $x \star a=b$ is taken by $x=b * a^{-1}$.

Hence, the correct answer is option: 'A'.

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