Quantcast Inequality problem help! - XP Math - Forums
XP Math Home Sign Up FREE! | Sign In | Classroom Setup | Common Core Alignment PDF Version

Go Back   XP Math - Forums > Mathematics > Homework Help

Reply
 
Thread Tools Display Modes
Old 05-13-2010   #1
sashi
 
Join Date: May 2010
Posts: 1
Default Inequality problem help!

can someone help me and explain how to solve this? i hope somene can solve this and help me XD

[

Uploaded with ImageShack.us
sashi is offline   Reply With Quote
Old 05-13-2010   #2
MAS1

Points: 8,254, Level: 61
Points: 8,254, Level: 61 Points: 8,254, Level: 61 Points: 8,254, Level: 61
Activity: 33.3%
Activity: 33.3% Activity: 33.3% Activity: 33.3%
Last Achievements
 
Join Date: Dec 2008
Posts: 249
Default

Quote:
Originally Posted by sashi View Post
can someone help me and explain how to solve this? i hope somene can solve this and help me XD

[

Uploaded with ImageShack.us
Look at the left hand side (LHS) of the inequality. For what values of x does the LHS become less than 0? 1 -sqrt(3) is approx. -0.73205.

x - 0.73205 <= 0
x <= 0.73205

So for those values of x, is the right hand side (RHS) ever less than 0?

10(0.73205)^2 + 7 = 12.359
As x gets smaller than 0.73205, the RHS is never less than zero. So all values of x <= 0.73205 satisfy the inequality.

Now we need to check values of x greater than 0.73205

The LHS is the graph of a line, while the RHS is a parabola opening upward with a vertex at (0,7). So for values of x >0.73205 the parabola will always be greater than the line since it increases at a faster rate than the line.

Therefore, all real values of x will satisfy the inequality. If x can be a complex number, then the solution is more difficult.
MAS1 is offline   Reply With Quote
Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT -4. The time now is 10:34 PM.


Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2017, vBulletin Solutions Inc.
XP Math