Q is the successor and R is the additive inverse of an integer of an P respectively.which of the following values of P makes P multiply Q multiply R a non negative integers A: 2 B:-1 C:3 D:1 Answer PLS
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yes
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Given : Q is the successor and R is the additive inverse of an integer P, respectively.
To find : Which of the given values of P makes P Q * R a non-negative integer
Solution:
Q is the successor of P => Q = P + 1
R is the additive inverse of P => R = - P
P Q R
= P (P + 1)(-P)
= -P²(P + 1)
P² is non negative
hence - (P + 1) should also be non negative
- (P +1 ) ≥ 0
=> P + 1 ≤ 0
=> P ≤ - 1
in given options only -1 Satisfies
option B is correct
- 1
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