SOLUTION: Solve the inequality, and express the solutions in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.)

Question 709355: Solve the inequality, and express the solutions in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.)
4 < |3x − 3| < 5

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Two possiblilities to check. One is if 3x-3>=0 and the other is for 3x-3<0. Before going into more, factor the expression..
. Take care of that in the inequality statement.

4 < |3x − 3| < 5

If then:

If x-1<0 then :

Now multiply all members by NEGATIVE 1 and reverse the direction of the order symbols.

And to keep lesser to the left and greater to the right,

FINAL RESULT STATEMENT: OR
RELATED QUESTIONS
Solve the inequality, and express the solution in terms of intervals whenever possible.... (answered by MathLover1)

Solve the inequality, and express the solution in terms of intervals whenever possible.... (answered by josgarithmetic)

Solve the inequality, and express the solutions in terms of intervals whenever possible:... (answered by jim_thompson5910)

Solve the inequality, and express the solutions in terms of intervals whenever possible. (answered by lwsshak3)

Solve Inequality Express the answer in terms of intervals, if possible. (5x + 1)(8 -... (answered by haileytucki,MathTherapy)

Solve the inequality and express the solution in terms of intervals whenever possible. (I (answered by robertb)