Question

Given the inequality -3y + 12 < -6, what is the least possible whole number value of y ?​

Answer 1

7

Explanation:

We begin with the inequality
`-3y+12<-6`

First, we can subtract 12 from both sides
`-3y<-18`

Now, we have to multiply each side by -1. When we do this, we have to reverse the inequality sign. This will give us

`3y>18`

Now we can divide each side by 3 to get

`(3)/(3) y>(18)/(3) \\\\y>6`

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.