How do you solve and write the following in interval notation: #-3 ≤ (x − 4) / 2 <4#?
When manipulating an inequality, we can treat it as a three part equation. Whenever we alter one part, we do the same to the other two. This allows us to manipulate the equation like so:
So the final answer is that
First, you can multiply all terms by 2:
and then you can add 4 to all terms: