Solve the inequality for y.

7/2y - 3 < -6y + 7

Simplify your answer as much as possible.


Sagot :

[tex] \frac{7}{2}y-3<-6y+7 \\ \\ \frac{7}{2}y<-6y+10 \\ \\ \frac{7}{2}y+6y<10 \\ \\ \frac{19}{2}y<10 \\ \\ y<10* \frac{2}{19} \\ \\ y< \frac{20}{19} [/tex]
3¹/₂y - 3 < -6y + 7
+ 6y        + 6y       
9¹/₂y - 3 < 7
        + 3 + 3
     9¹/₂y < 10
      9¹/₂    9¹/₂
           y < 1¹/₁₉