SOLUTION: 1/3<(3-2x)/6<3/8 I need to solve for x and express in interval notation.

Algebra ->  Inequalities -> SOLUTION: 1/3<(3-2x)/6<3/8 I need to solve for x and express in interval notation.      Log On


   

Question 343457: 1/3<(3-2x)/6<3/8 I need to solve for x and express in interval notation.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F3%3C%283-2x%29%2F6%3C3%2F8+
Let's multiply the equation by 24.
8%3C4%283-2x%29%3C9
Break up the problem into two inequalities and solve them separately,
8%3C4%283-2x%29
2%3C3-2x
2x%3C1
highlight%28x%3C1%2F2%29
.
.
.
4%283-2x%29%3C9
3-2x%3C9%2F4
-2x%3C9%2F4-12%2F4
-2x%3C-3%2F4
highlight%28x%3E3%2F8%29
.
.
.
Then put the intervals together.
3%2F8%3Cx%3C1%2F2
or in interval notation,
(3%2F8,1%2F2)