SOLUTION: how do i solve the following inequality? the absolute value of 7-3y divided by 2 < 1 (the whole fraction is absolute valued)

Question 651121: how do i solve the following inequality?
the absolute value of 7-3y divided by 2 < 1 (the whole fraction is absolute valued)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
absolute value of 7-3y divided by 2 < 1
|(7-3y)/2|<1
Solve for 2 conditions:
(7-3y)/2<1
multiply both sides by 2
7-3y<2
add -7
-3y<-5
divide by -3 and reverse inequality sign
y>5/3
or
-(7-3y)/2<1
multiply both sides by 2
-7+3y<2
add 7
3y<9
y<3
number line
<.......5/3<===>3..........>
solution: (5/3,3)
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