Answer:
The solution to the inequality 7y + 2 < 5y + 12 is y < 5.
Explanation:
First, let's subtract 5y from both sides:
7y - 5y + 2 < 12
Simplifying the left side gives:
2y + 2 < 12
Next, let's subtract 2 from both sides:
2y + 2 - 2 < 12 - 2
Simplifying further:
2y < 10
Now, we can divide both sides of the inequality by 2 to solve for y:
(2y)/2 < 10/2
Simplifying:
y < 5