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In the group G= ( 1,2,3,4 , x₅ ) the solution of 2⁻¹ (3 ₅ x )=4 is

Options

  1. A1
  2. B2
  3. C3
  4. DNone of these

Correct answer

A. 1

Step-by-step solution

The composition table is as given below array c|c|c|c|c x₅ & 1 & 2 & 3 & 4 1 & 1 & 2 & 3 & 4 2 & 2 & 4 & 1 & 3 3 & 3 & 1 & 4 & 2 4 & 4 & 3 & 2 & 1 array Clearly, identity element = 1 2⁻¹ ₅ (3 ₅ x )=4 array ll & 3 ₅ (3 ₅ x )=4 & (3 ₅ 3 ) ₅ x=4 array array lr & 4 ₅ x=4 & x=4⁻¹ ₅ 4=1 array

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