1. The problem is to evaluate the expression $1+1$ and verify if it equals 3. 2. The addition operation combines two numbers to find their total. 3. Using the formula for addition: $$a + b = c$$ where $a=1$ and $b=1$. 4. Calculate: $$1 + 1 = 2$$. 5. Since $2 \neq 3$, the statement $1+1=3$ is false. 6. Therefore, the correct answer is $2$, not $3$.