SOLUTION: Solve and graph the inequality -6 < x + 3 < 6

Algebra.Com
Question 117958: Solve and graph the inequality
-6 < x + 3 < 6

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality





Subtract 3 from all sides



So the solution in interval notation is: (-9,3)


Now let's graph the solution set



Note: at there is a open circle (which means this point is excluded) and at there is a open circle (which means this point is excluded)




RELATED QUESTIONS

Solve the inequality and graph the solution.... (answered by stanbon)
Solve and graph the inequality 2x > -6 and x - 4 < 3 (answered by checkley71)
1. Solve and graph the inequality 4/5x+5<-3 4.Solve and graph the inequality -x/4 - 6... (answered by sofiyac)
Solve the inequality for x:... (answered by user_dude2008)
please solve compound inequality. graph x<=0 and... (answered by CubeyThePenguin)
Solve absolute value inequality and graph solution set. 1 > 1/2|6 - x| -... (answered by stanbon,AnlytcPhil)
solve the inequality and graph the solution. 2z-6<=z (answered by MathLover1)
Solve the inequality 3x-6<2x+12 and then... (answered by Fombitz)
Solve the following inequality and graph (or explain) the solution set. -x – 6 >... (answered by jim_thompson5910)