Inequality problem help! - XP Math - Forums

 XP Math - Forums Inequality problem help!

 05-13-2010 #1 sashi   Join Date: May 2010 Posts: 1 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
05-13-2010   #2
MAS1

 Points: 8,254, Level: 61
 Activity: 33.3%
Last Achievements

Join Date: Dec 2008
Posts: 249

Quote:
 Originally Posted by sashi 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.

 Thread Tools Display Modes Linear Mode

 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 Rules
 Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Welcome     XP Math News     Off-Topic Discussion Mathematics     XP Math Games Worksheets     Homework Help     Problems Library     Math Challenges

All times are GMT -4. The time now is 10:21 PM.

 Contact Us - XP Math - Forums - Archive - Privacy Statement - Top