the solution for this question is D , says manhattan guide .

i understand the math behind it .But shouldn’t x=5 i.e option E also a solution??

It is covered by option D and so are the rest of the cases (x= 6, 7, 8, 9 …and so on). That’s why D is the correct one.

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so if it were a multiple answer type question would option E also fit into the solution?

Yes, in that case option D would be just x>5

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thanks