Question

Translate and solve. Then graph the solution on the number line, and write the solution in interval notation. Four more than $a$is at most $15$.

Short answer

The solution interval is $(-\infty ,11]$.

The solution graph is :-

Step-by-step solution

Step 1. Given Information

We have given the following statement :-

Four more than $a$is at most $15$.

Step 2. Translate to inequality 

We can translate the given statement "Four more than $a$is at most $15$. " to a inequality as following :-

$a+4\le 15$.

Step 3. Solve the inequality

Subtract $4$from both sides from above inequality, then we have :-

$$\begin{gathered} a+4-4\le 15-4 \\ \Rightarrow a\le 11 \end{gathered}$$

Step 4. Conclusion

We find that :-

$(-\infty ,11]$.

So the solution interval is $(\infty ,11]$.

We can graph the solution on number line as following :-