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The complete set of ‘x’ which satisfy the following inequality is: log2(x - 1) > log2(x + 2)

The complete set of ‘x’ which satisfy the following inequality is: log2(x - 1) > log2(x + 2) Correct Answer ∅

Firstly, x - 1 > 0 and x + 2 > 0

So, x > 1

x ε (1, ∞)           ----(1)

x > - 2

x ε (- 2, ∞)           ----(2)

Next,

Solving the inequality -

x - 1 > x + 2

- 1 > 2

This statement is false.

Hence, x ϵ ∅           ----(3)

∩ of equations 1, 2 and 3 is ∅

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