Is \(1 < x < 2?\)

[VJesus12]

Is \(1 < x < 2?\)

(1) \(0 < x\)
(2) \(x < 3\)

[spoiler]OA=E[/spoiler]

Source: Official Guide

[anonylfc]

This is one of the simplest questions you'll find:

1st condition -> x can be 1.5 or 2.9 , so not sufficient to know whether 1<x<2
2nd condition -> x can again be 1.5 or 2.0, so not sufficient to know whether 1<x<2

Combine both the conditions:
Basically the condition boils down to 0<x<3 which is obviously not equal to 1<x<2 ( think of values like 0.5,2.5 etc.)

Hence option E.