SOLUTION: 16/4 < y+5/2 < 25/4

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 16/4 < y+5/2 < 25/4       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1165206: 16/4 < y+5/2 < 25/4

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
First of all, never type the 'less than', " < " key without a space
immediately after it, because " < " is the beginning of an HTML tag and will
usually delete what comes after it.  So all that showed up on your post was
16/4.  I skipped the spaces for you.

16%2F4%3Cy%2B5%2F2%3C25%2F4

Multiply all three sides through by 4 to clear the fractions.  [Since 4 is
positive, multiplying through by it won't cause the inequality symbols to
reverse as they would if you were to multiply through by a negative number.]

16%3C4y%2B10%3C25

Add -10 to all three sides 

16-10%3C4y%2B10-10%3C25-10

6%3C4y%3C15

Divide all three sides through by 4:

%286%29%2F4%3C4y%2F4%3C15%2F4

Reduce the fraction on the left and cancel the 4's in the middle:

3%2F2%3Cy%3C15%2F4

Edwin