Is $1 < x < 2?$

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Wed May 20, 2020 6:22 am

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Is $1 < x < 2?$

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

[spoiler]OA=E[/spoiler]

Source: Official Guide

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Source: Beat The GMAT — Data Sufficiency | Wed May 20, 2020 6:22 am

anonylfc: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Wed May 20, 2020 9:34 pm

Re: Is $1 < x < 2?$

by anonylfc » Fri May 22, 2020 7:52 am

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.

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