Question

(b) find the possible numbers of additional kilometers keiko will bike. write your answer as an inequality solved for x.
(c) on the number line below, graph the solution that represents the possible numbers of additional kilometers keiko will bike.

Explanation:

Part (b)

Step1: Start with the given inequality

We have the inequality \(4 + x < 12\).

Step2: Solve for \(x\) by subtracting 4 from both sides

To isolate \(x\), we perform the operation \(4 + x - 4<12 - 4\).
Simplifying both sides, we get \(x < 8\).

Answer:

\(x < 8\)

Part (c)

To graph \(x < 8\) on the number line:

1. Locate the number 8 on the number line.
2. Since the inequality is \(x < 8\) (not \(x\leq8\)), we use an open circle at 8 to indicate that 8 is not included in the solution set.
3. Then, draw an arrow to the left of 8 to represent all the numbers less than 8.