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GMAT Problem Solving (PS) | Re: For how many integer values of x, is |x – 3| + |x + 1| + |x| < 10?

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Firstly while looking at the question we can eliminate Answer choice E as this question consists of an absolute sum with a range of less than value (10 in this case). Thus there are finite set of possibilities.

After this we can determine the critical points -1,0,3 and check for the no of integer values that satisfy the equation

Now note all the 3 critical points satisfy the equation hence we have 3 values to start with.

Range 1: x<-1---------Only -2 satisfies this. Any value less than -2
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