I'm going to use x as the missing/unknown number here. You know that the answer is, at most, 30. You also know that a product of something means multiplication. So, something times five is, at most, 30.
This would be written as: 5x≤30, as the answer is equal to 30, or less than that.
If you'd like to solve for x, you divide both sides by 5:
x≤6
The sign does NOT flip, the number that was divided to get x alone was not a negative, so no sign-flipping is needed.