Question related to compound inequality

[PavanK217]

Hi Folks,

I am currently reviewing the material from Manhattan GMAT. This is related to compound inequalities.

Here is the question:

If x>8, x<17, x+5<19, what is the range of possible values of x?

Solution:

Solving the above individual inequalities and making the equalities to point in the same direction we get these - 8<x, x<17, x<14

I see two possibilities: 8<x<14 OR 8<x<17

But the book prefers 8<x<14 as this is a tighter range than 8<x<17

Let's say x=15. This would not fall in the inequality 8<x<14 but x=15 still satisfies the individual inequality x<17 (given in the question).

Is it correct to conclude 8<x<17 would be a better option than 8<x<14 OR is there something I am missing?

[Sage Pearce-Higgins]

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