SOLUTION: can you please help me solve the inequality in interval notation 2x-2< x+6< 3x-4 I tried moving everything to the left and got (-infinity,3) but that is incorrect

Algebra.Com
Question 1093350: can you please help me solve the inequality in interval notation
2x-2< x+6< 3x-4
I tried moving everything to the left and got (-infinity,3) but that is incorrect

Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!


That means


-

-


-





-
The way that BOTH AND is that these solutions of x are .

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
2x-2< x+6< 3x-4
work on the left two
x< 8
work on the right two
=-2x < -10
x > 5
(5, 8)
check
try 0, shouldn't work. -2<6<-4, doesn't work
try 9, shouldn't work. -20<-3<-31 doesn't work
try 6 should work 10 < 12 < 14
7 should 12 < 13 <17
5 and 8 are just outside
8 < 11 < 11
14 < 14 < 20

RELATED QUESTIONS

please help me solve this question it is supposed to be represented in interval notion... (answered by josgarithmetic,greenestamps)
Hello, can you please help me solve these two problems :) Find the solution set. Write (answered by stanbon)
Can You Please Help Me Solve the linear inequality? Also, Help Me Express the solution... (answered by Fombitz)
can you help me with this one please? Solve the inequality. Give the result in interval... (answered by Theo)
solve the inequality and write in interval notation :... (answered by lwsshak3)
Someone PLEASE HELP me solve this inequality problem ! ~ Graph the inequality x + y is (answered by solver91311,MathLover1,lynnlo)
I have tried everything, can someone help me solve this??? Use the Remainder Theorem... (answered by josgarithmetic)
can you please help me solve the inequality in interval notion (5-x)^3 (x^2+x+4) /... (answered by greenestamps)
Can you help me solve this? please i know the two points are -3 and 8 but... idk how to... (answered by lynnlo,solver91311)