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Question

# Find the complete range of values of x for which (x2−7x+13)x<1.

A

(-∞, +∞)

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B

(0, ∞)

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C

(-∞, 4)

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D

(-∞, 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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