Question

Solve the inequality for y.

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

Simplify your answer as much as possible.

Answer 1

3¹/₂y - 3 < -6y + 7
+ 6y + 6y
9¹/₂y - 3 < 7
+ 3 + 3
9¹/₂y < 10
9¹/₂ 9¹/₂
y < 1¹/₁₉

Answer 2

`(7)/(2)y-3<-6y+7 \\ \\ (7)/(2)y<-6y+10 \\ \\ (7)/(2)y+6y<10 \\ \\ (19)/(2)y<10 \\ \\ y<10* (2)/(19) \\ \\ y< (20)/(19)`