Question

The opposite of one third of a number, x, decreased by 2 is greater than 2 and less than 8. What are the possible solutions?

Answer 1

So this is our inequality:
`2<-(1)/(3)x-2<8`

Firstly, add 2 to all sides of the inequality:
`4<-(1)/(3)x<10`

Next, multiply all sides of the inequality by -3, and since we are multiplying by a negative number flip the signs, and your answer will be:
`-12>x>-30`