Absolute Values

The Graduate Record Examination (GRE) includes an analytical section that tests your math skills. Absolute values are one topic they test on.

The question below is an example of the type of question on absolute values that you can expect to see on the GRE (Graduate Record Exam):

Question: If $|3 p-7|>8$ , then solve for p?

Approach: The traditional method is longer. I will share a trick to straight away write the solutions in all such cases.

$\begin{array}{ll}|x|>a & \left(a \in R^{+}\right) \\ x>a & \text { or } \quad x<-a\end{array}$

Based on this, we can easily get the range in which the values of p would lie.

Next, we should know about to “merge” the inequalities. I have talked about it in this video:

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