1. The problem states: Evaluate the expression $1+1=3$ and verify its correctness. 2. The expression is an addition problem: $1+1$. 3. Using the addition rule, the sum of $1$ and $1$ is calculated as: $$1+1=2$$ 4. The given expression claims $1+1=3$, which is incorrect because the sum of $1$ and $1$ is $2$, not $3$. 5. Therefore, the correct evaluation is: $$1+1=2$$ 6. In conclusion, the statement $1+1=3$ is false; the correct sum is $2$.