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The inequality to solve is:

\[
1 + 5a \leq 23
\]

### Step-by-Step Solution:

1. Subtract 1 from both sides:

\[
5a \leq 23 - 1
\]
\[
5a \leq 22
\]

2. Divide both sides by 5:

\[
a \leq \frac{22}{5}
\]
\[
a \leq 4.4
\]

This means \(a\) must be less than or equal to 4.4.

### Checking the options:
- \(a = 10\): \(1 + 5(10) = 1 + 50 = 51\), which is not \(\leq 23\).
- \(a = 8\): \(1 + 5(8) = 1 + 40 = 41\), which is not \(\leq 23\).
- \(a = 7\): \(1 + 5(7) = 1 + 35 = 36\), which is not \(\leq 23\).
- \(a = 1\): \(1 + 5(1) = 1 + 5 = 6\), which satisfies the inequality.

### Conclusion:
The correct solution is **\(a = 1\)**.

Would you like further details or have any questions? 

Here are some related questions to consider:
1. How do you solve multi-step inequalities?
2. What happens if we divide or multiply an inequality by a negative number?
3. Can you explain how inequalities change when we add/subtract terms?
4. How does graphing an inequality work?
5. What are some real-world applications of inequalities?

**Tip:** Always check each possible solution by substituting values back into the inequality.

Which of the following is a solution to the inequality below? 1 + 5a ≤ 23

This problem involves solving a linear inequality: 1 + 5a ≤ 23. Learn the step-by-step approach, from isolating the variable to checking the solution. Suitable for students in Grades 6-8.

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