For what values of y does the binomial 5y−7 belong to the interval (−5, 13)?

Answer:
[0.4,4]

Explanation:
The get the values of y belonging to the given interval, we will simply solve the following inequality:
-5 ≤ 5y - 7 ≤ 13
-5 + 7 ≤ 5y ≤ 13 + 7
2 ≤ 5y ≤ 20
2/5 ≤ y ≤ 20/5
0.4 ≤ y ≤ 4

Hope this helps :)