1. anonymous

$-\frac{ 3 }{ 2 } y -11 - \frac{ 1 }{ 2 }y <3$

2. anonymous

remove the fraction so that you may easily see what to do next

3. anonymous

to do that, multiply by 2 both the left and right sides

4. anonymous

so you'll have 3y - 22 - 1y < 6

5. anonymous

then isolate the terms with the variables from the constant terms

6. anonymous

3y - y -22 + 22 < 6 + 22 3y - y <28

7. anonymous

2y < 28 y < 14

8. anonymous

is there one more step cuz that is not in my choices

9. TheViper

$-\frac{ 3 }{ 2 } y -11 - \frac{ 1 }{ 2 }y <3$$\dfrac{-3y}{2}-\dfrac{1y}{2}<14$$\dfrac{-3y-1y}{2}<14$$-3y-1y<28$$-4y<28$$y<?$

10. anonymous

@TheViper so it would be y> -7