SOLUTION: solve each compound ineqaulity and write the solution set using interval notation. -3<(3x-1)/5<1/2 and 1/3<(3-2x)/6<9/2

Question 30617: solve each compound ineqaulity and write the solution set using interval notation.
-3<(3x-1)/5<1/2 and 1/3<(3-2x)/6<9/2
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
and
We will solve these one at a time. As these are compound inequalities, like an equation where if you add 5 to each side .... here you do it to all three parts of the inequality.
Multiply by 5
Add 1
divide by 3
the smaller value is on the left, the larger on the right, and the <> symbols are pointing left. If you need to reduce the fractions to mixed numbers, do so now.
Multiply by 6
reduce the fractions now
subtract 3
Divide by negative 2
DONT FORGET TO FLIP THE < > SYMBOL WHEN * OR / BY A NEGATIVE!!!!
Smaller number needs to be on the left ... flip the WHOLE thing end for end

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