Find the complete range of values of x for which $(x^{2} - 7 x + 13)^{x} < 1$ .

(-∞, +∞)

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(0, ∞)

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(-∞, 4)

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(-∞, 0) ⋃ (3, 4)

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Solution

The correct option is D
(-∞, 0) ⋃ (3, 4)

Check for values which are included in the range in 2 options and not there in two options i.e. substitute x=0, equation is not satisfied at x=0; thus option (a) and option (c) can be eliminated next, check for values which are there in option (b) and not there in option (d) or vice versa. Put x=1The equation is not satisfied at x=1, LHS= 6 and RHS=1. Thus the correct range is option (d)

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