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$p(p−1)<0$ what is  value of $p$ please solve step by step

options are

  1. $(–\infty, 0)$
  2. $(0, 1)$
  3. $(1, \infty)$
  4. $(0, \infty)$
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This can be understood by drawing on a graph. However it can also be done by hit-and-trial/option elimination :

  1. If $p$ lies between infinity and $0,$ suppose $p$ is $-10$, then $p-1=-11.$ Product is greater than $0$
  2. $p$ lies between $0$ and $1,$  suppose $p$ is $0.9$ and $p-1= -(.1)$ $\text{less than 0}$
  3. Let $p=10$ then $p-1=9$ product is greater than $0$
  4. Let $p=8, p-1=7$ Product is greater than $0$
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