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# x+4)^2 > 4 what is the value of x

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Manager
Joined: 16 Apr 2009
Posts: 213
Schools: Ross
x+4)^2 > 4 what is the value of x [#permalink]

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07 Jul 2009, 17:04
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(x+4)^2 > 4

what is the value of x?

--== Message from GMAT Club Team ==--

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Senior Manager
Joined: 04 Jun 2008
Posts: 279

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07 Jul 2009, 19:15
for (x+4)^2 to be >4, (x+4) must either be < -2 or > 2

when x+4 < -2 ; x < -6
when x+4 > 2 ; x > -2
Manager
Joined: 28 Jan 2004
Posts: 199
Location: India

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08 Jul 2009, 21:26
[m]x^2[/m]
As per instructions given to write the formula in a more readable format I tried the following.

Step 1 - I wrote X^2.
Step 2 - I highlighted X^2 and then clicked m given on top. This made it appear as [m]x^2[/m].
Step 3 - I submitted the post.

Result -
As you can see that it did not showed it as a mathematical symbol. Can someone help please. My explanation could have been much simpler had I been able to display the mathematical formula.

Manager
Joined: 28 Jan 2004
Posts: 199
Location: India

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08 Jul 2009, 21:48
(x+4)^2 > 4

Make it a equality first.
(x+4)^2 = 4
Solve it we get
(X+2)(X+6) = 0
This means
X = -2 or X = -6.
Now this -2 and -6 are our check points. what we have done is that we have broken the number line into 3 intervals.
(-infiniy,-6) (-6,-2) and (-2,+infinity). we just need to check that within which interval this expression is positive (why positive ? because the initia inequality asked us to find > 4. Had the initial inequaiy asked us to find <4 then we would have find out within which of these 3 interval we have a -ve value).
Now make a grid as follows or use the check point method. I do not recommend check point method so lets go with the grid.

refer my attachment as I do not know how to put a picture here.
Attachments

Inequality.doc [27.5 KiB]

Current Student
Joined: 03 Aug 2006
Posts: 112

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08 Jul 2009, 22:17
mdfrahim wrote:
$$x^2$$
As per instructions given to write the formula in a more readable format I tried the following.

Step 1 - I wrote X^2.
Step 2 - I highlighted X^2 and then clicked m given on top. This made it appear as $$x^2$$.
Step 3 - I submitted the post.

Result -
As you can see that it did not showed it as a mathematical symbol. Can someone help please. My explanation could have been much simpler had I been able to display the mathematical formula.

I noticed that you had 'Disable BBCode' checked. Uncheck it and it should work.
Manager
Joined: 28 Jan 2004
Posts: 199
Location: India

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08 Jul 2009, 23:36
Can you please tell me how to do this ? I have no idea what a BBCode is !!!!
Current Student
Joined: 03 Aug 2006
Posts: 112

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09 Jul 2009, 00:48
mdfrahim wrote:
Can you please tell me how to do this ? I have no idea what a BBCode is !!!!

I have attached a screenshot and if you look under options you will see that you have that flag checked.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Attachments

img1.jpg [ 97.89 KiB | Viewed 612 times ]

Re: Inequality   [#permalink] 09 Jul 2009, 00:48
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