Find the complete range of values of "p” for which ( p 2 − 7 p + 13 ) p < 1 ? Options: A . &nbsp(−∞,+∞) B . &nbsp0,∞ C . &nbsp(−∞,4) D . &nbsp(−∞,0)∪(3,4) E . &nbsp8

Find the complete range of values of "p” for which (p2−7p+13)

Question

Find the complete range of values of "p” for which

(p^{2} - 7 p + 13)^{p} < 1 ?

Answer: Option D
:
D
Use substitution method,
Put p= 5. Then LHS

>

RHS. Thus, the inequality is not satisfied for this value.
Answer can never be option (a) or (b)
Put p=2. Then LHS>RHS. Thus, the inequality is not satisfied for this value as well. Answer is option (d).

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