Bunuel wrote:

Not sure I understand what you mean. The shaded region gives \(-1<x<4\) and option B also gives \(-1<x<4\). Thus B is correct. No other option gives this range, no matter whether you include endpoints on the diagram in the inequality or not.

What Im trying to say is that I interpret the shaded region as saying \(-1<=x<=4\), since both -1 and 4 are "covered" by the shaded area (at least it seems so to me). Thus, x could be -1 or it could be 4. But \(-1<x<4\) means that x cannot be either -1 or 4, and this is what confuses me. Either I am misinterpreting the shaded area, or I lack a fundamental understanding of inequalities.

Even I am having the same issue... I interpreted the inequality to be \(-1<=x<=4\) and discarded all the options... Can someone please tell me why are we considering \(-1<x<4\) and not \(-1<=x<=4\)