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|X-5|>2+P, where P is a constant. For what value of P, will the inequality be true for all the values of X ?

|X-5|>2+P, where P is a constant. For what value of P, will the inequality be true for all the values of X ?

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Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

The value of modulus is always greater than or equal to zero.
so for given question, the terms in RHS should be negative so that the inequality is always true

2+p<0

only option satisfying is p=-5

Thanks

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