Simplifying Before Solving


The GRE and GMAT always present you with enough information to solve a question. But frequently, you will need to alter, simplify, or modify expressions a good bit before proceeding. In fact, some problems (like the following) depend upon your ability to do so. How might you simplify the expressions in the following problem before proceeding to a solution?

Question of the Day

If set M = {1, 1, 2, 3, 5, 8, 13}, what is the probability that a randomly chosen element  belonging to set M will satisfy both of the inequalities  and ?

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Both inequalities presented at the outset of the problem must be simplified before a solution can be easily found. Be aware that often times the test will not simply offer information that can be directly solved; it is far more common to be given information which requires some significant changes before it is useful for solving.