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Re: If |p |p|| = 3, how many values of p satisfy this equation? [#permalink]
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Bunuel wrote:
­If \(|p – |p|| = 3\), how many values of \(p\) satisfy this equation?

A. 0
B. 1
C. 2
D. 3
E. 4­



 

­LOGICAL APPROACH
\(|p – |p|| = 3\)

Observation 1: If p were a positive value then p and |p| would be equal and p – |p| would be zero

Since, \(|p – |p|| = 3\) i.e. p MUST be negative

Observation 2: since p is Negative therefore |p| must be positive and \(|p – |p||\) mist be equal to |2p|

Now since |2p| = 3
p must be -1.5 only hence ONLY ONE SOLUTION

Answer: Option B


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Re: If |p |p|| = 3, how many values of p satisfy this equation? [#permalink]
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