To check if $(1, 5)$ is a solution to the inequality $y < 2x + 3$, we substitute $x = 1$ and $y = 5$ into the inequality and see if it holds true.

The inequality is: $y < 2x + 3$

Substituting $x = 1$ into the expression on the right-hand side: $2(1) + 3 = 2 + 3 = 5$

Now compare $y = 5$ to the right-hand side: $5 < 5$

This statement is false because $5$ is not less than $5$.

Thus, $(1, 5)$ is not a solution to the inequality $y < 2x + 3$.

Would you like more details or have any other questions?

Here are some related questions:

1. How do you graph inequalities like $y < 2x + 3$?
2. What is the difference between a solution to an equation and a solution to an inequality?
3. How do you find the solution set for an inequality with two variables?
4. What does the graph of $y = 2x + 3$ look like?
5. Can inequalities have infinitely many solutions?

Tip: When testing a point in an inequality, substitute the values directly into the inequality and carefully check whether the statement holds true.