Answer:
7
Step-by-step explanation:
We begin with the inequality [tex]-3y+12<-6[/tex]
First, we can subtract 12 from both sides[tex]-3y<-18[/tex]
Now, we have to multiply each side by -1. When we do this, we have to reverse the inequality sign. This will give us
[tex]3y>18[/tex]
Now we can divide each side by 3 to get
[tex]\frac{3}{3} y>\frac{18}{3} \\\\y>6[/tex]
As y must be greater than 6, the next whole number will be the least possible. In this case, as it cannot be 6, the least possible whole number value of y must be 7.