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Chapter 2: Q 2.112 (page 178)

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

Short Answer

Expert verified

The solution interval is (-∞,11].

The solution graph is :-

Step by step solution

01

Step 1. Given Information

We have given the following statement :-

Four more than ais at most 15.

02

Step 2. Translate to inequality 

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

a+4≤15.

03

Step 3. Solve the inequality

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

a+4-4≤15-4⇒a≤11

04

Step 4. Conclusion

We find that :-

(-∞,11].

So the solution interval is (∞,11].

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

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