A new club wants to attract customers who are at least 18 but less than 30 years of age. One of the number lines below illustrates the range of ages, in years, of the customers the club wants to attract. Which number line is it?

Options

A.
B.
C.
D.

Answer

To solve the problem of identifying which number line illustrates the range of ages the club wants to attract (customers who are at least 18 but less than 30 years of age), we can follow these steps:

### Step 1: Understand the Age Range
The club wants customers who are:
- At least 18 years old (inclusive)
- Less than 30 years old (exclusive)

This can be represented mathematically as:
\[ 18 \leq \text{age} < 30 \]

### Step 2: Analyze the Options
We need to look at the number lines provided in the options (A, B, C, etc.) and check which ones correctly represent the age range from 18 to 30.

### Step 3: Identify the Correct Representation
1. **Option A**: If this number line shows the range from 18 to 30, with 18 included (marked with a solid dot or line) and 30 not included (marked with an open dot), then this option is correct.
2. **Option B**: Similarly, if this number line also shows the range from 18 to 30 with the same inclusivity and exclusivity as described above, this option is also correct.
3. **Option C**: If this number line shows ages less than 18 or more than 30, then it does not meet the criteria set by the club.

### Step 4: Conclusion
Based on the analysis:
- If both options A and B correctly illustrate the range of ages from 18 (inclusive) to 30 (exclusive), then they are both correct.
- If options C or any other options include ages outside of the specified range, they would not be correct.

### Final Answer
The correct number lines that illustrate the desired age range are **A and B**.

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