4 - |x - 2| < 2 Could someone show me just the beginning steps of this problem. Thanks
J jshaziza Junior Member Joined Jan 26, 2007 Messages 102 May 22, 2007 #1 4 - |x - 2| < 2 Could someone show me just the beginning steps of this problem. Thanks
J jonboy Full Member Joined Jun 8, 2006 Messages 547 May 22, 2007 #2 Subtract 4 from both sides: -|x - 2| < -2 Divide both sides by -1, flipping the sign: |x - 2| > 2 This is an or statement. Now continue.
Subtract 4 from both sides: -|x - 2| < -2 Divide both sides by -1, flipping the sign: |x - 2| > 2 This is an or statement. Now continue.
skeeter Elite Member Joined Dec 15, 2005 Messages 3,218 May 22, 2007 #3 4 - |x-2| < 2 subtract 4 from both sides ... -|x-2| < -2 multiply both sides by (-1) ... note that the inequality changes direction |x-2| > 2 you now have two cases ... x-2 > 2 or x-2 < -2 solve both cases to determine the solution set.
4 - |x-2| < 2 subtract 4 from both sides ... -|x-2| < -2 multiply both sides by (-1) ... note that the inequality changes direction |x-2| > 2 you now have two cases ... x-2 > 2 or x-2 < -2 solve both cases to determine the solution set.
