Data Sufficiency (DS) | Re: If x is an integer and |x - 3| + |x + 4|

OfficialSolution:


If\(x\) is an integer and\( |x - 3| + |x + 4| \leq |x +8|\) , what is the value of\(x\) ?

The critical points (aka key points or transition points) are -8, -4 and 3 (the values of\(x\) for which the expressions in the absolute values become 0).

So, we should consider the following ranges:

If\( x < -8\) , then\( x - 3 <0\) ,\( x + 4 <0\) and[m] x + 8 <
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