SOLUTION: How do you find the absolute value of an open sentence when it has parenthesis? Ex: |6(3d-5)| is less than or equal to 14 Can you help me?

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: How do you find the absolute value of an open sentence when it has parenthesis? Ex: |6(3d-5)| is less than or equal to 14 Can you help me?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 23423: How do you find the absolute value of an open sentence when it has parenthesis? Ex: |6(3d-5)| is less than or equal to 14
Can you help me?
Answer by stanbon(29602) About Me  (Show Source):
You can put this solution on YOUR website!
You have to solve two equations and then combine their answers, as follows:
6(3d-5)<=14
3d-5<= 7/3
3d<=7/3 + 15/3
d<= 22/9
-6(3d-5)<=14
-18d+30<=14
-18d<=-16
d>=8/9
Combine the two answers to get:
8/9<=d<=22/9
Cheers,
Stan H.