GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Oct 2019, 09:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If x^2<25, which of the following expressions must be true?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 25 Dec 2018
Posts: 486
Location: India
Concentration: General Management, Finance
GMAT Date: 02-18-2019
GPA: 3.4
WE: Engineering (Consulting)
If x^2<25, which of the following expressions must be true?  [#permalink]

### Show Tags

14 Apr 2019, 06:19
1
7
00:00

Difficulty:

95% (hard)

Question Stats:

33% (01:55) correct 67% (02:13) wrong based on 132 sessions

### HideShow timer Statistics

If x^2<25, which of the following expressions must be true?

I. |x-3| < 10
II. |2x – 3| < 8
III. |2x^2| < 42

A. I only
B. II only
C. III only
D. I and II only
E. I and III only
Math Expert
Joined: 02 Aug 2009
Posts: 7970
Re: If x^2<25, which of the following expressions must be true?  [#permalink]

### Show Tags

14 Apr 2019, 08:52
mangamma wrote:
If x^2<25, which of the following expressions must be true?

I. |x-3| < 10
II. |2x – 3| < 8
III. |2x^2| < 42

A. I only
B. II only
C. III only
D. I and II only
E. I and III only

$$x^2<5^2.......-5<x<5$$..

So our choices should contain this range..
I. |x-3|<10....
x-3<10 or X<13 AND 3-x<10.....x>-7.....Thus -7<x<13..
YES, it contains -5<x<5

II. |2x-3|<8....
2x-3<8 or 2x<11 or x<5.5 AND 3-2x<8.....2x>-5....Thus -2.5<x<5.5..
No, it does not contain -5<x<-2.5

III. $$|2x^2|<42.....x^2<21$$
This does not contain 21<x^2<25..

Only I

A
_________________
Duke & Cornell Moderator
Joined: 29 May 2018
Posts: 94
Location: India
GMAT 1: 700 Q48 V38
GMAT 2: 720 Q49 V39
GPA: 4
Re: If x^2<25, which of the following expressions must be true?  [#permalink]

### Show Tags

14 Apr 2019, 18:06
Hi,
Thank You for such a detailed solution.

Kindly resolve my confusion here:

X lies between -5 and 5. Then, which other expression would hold true: any expression wherein x is a subset of -5 to 5.
3rd option was the only one in which this was true. Please help.
Math Expert
Joined: 02 Aug 2009
Posts: 7970
Re: If x^2<25, which of the following expressions must be true?  [#permalink]

### Show Tags

14 Apr 2019, 19:03
1
1
vinayakvaish wrote:
Hi,
Thank You for such a detailed solution.

Kindly resolve my confusion here:

X lies between -5 and 5. Then, which other expression would hold true: any expression wherein x is a subset of -5 to 5.
3rd option was the only one in which this was true. Please help.

x lies between -5 and 5...
in option III, X lies between -√21 and √21, that is -4.6 and 4.6..
This range does not cover for X between -5 and -4.6 nor for X between 4.6 and 5.
If x is 4.7, then it is not contained in option III.. so, III is not correct
_________________
Duke & Cornell Moderator
Joined: 29 May 2018
Posts: 94
Location: India
GMAT 1: 700 Q48 V38
GMAT 2: 720 Q49 V39
GPA: 4
Re: If x^2<25, which of the following expressions must be true?  [#permalink]

### Show Tags

15 Apr 2019, 06:03
Thank You! I had supposed the opposite. Very silly of me.
Re: If x^2<25, which of the following expressions must be true?   [#permalink] 15 Apr 2019, 06:03
Display posts from previous: Sort by

# If x^2<25, which of the following expressions must be true?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne