Answer: hope this helps :)
y should be in the interval (0.4, 4)
Explanation:
The binomial 5y - 7 is in the interval (-5, 13) if and only if -5 < 5y - 7 < 13
Solving the inequalities in this form is the same as solving equation. So, we add all sides of the inequalities by 7 so that 2 < 5y < 20
Then, we divide both sides by 5 to get the following inequalities 0.4 < y < 4
Hence y should be in the open interval (0.4, 4).