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To solve the inequality \( 4a - 87 < 1 \), we can follow these steps:

1. **Isolate the variable term** by adding 87 to both sides:
   \[
   4a - 87 + 87 < 1 + 87
   \]
   \[
   4a < 88
   \]

2. **Divide both sides by 4** to solve for \( a \):
   \[
   a < \frac{88}{4}
   \]
   \[
   a < 22
   \]

So, the solution is:
\[
a < 22
\]

This means \( a \) must be less than 22. You should choose the \( < \) sign and enter "22" in the answer box.

Would you like more details, or do you have any questions?

Here are some related questions:
1. How do you solve an inequality with a variable term and a constant term?
2. What changes in the solution if the inequality symbol is reversed?
3. How does dividing by a negative number affect the inequality?
4. What are the steps to check if a solution to an inequality is correct?
5. Can you represent this inequality solution on a number line?

**Tip:** When solving inequalities, remember that multiplying or dividing by a negative number flips the inequality sign.

Learn how to solve the inequality 4a - 87 < 1 with a detailed, step-by-step solution. This problem focuses on algebraic concepts, including solving inequalities and isolating variables, suitable for students in Grades 6-8.

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