To solve the inequality \(4x + 5 < 41\):

### Step 1: Subtract 5 from both sides to isolate the term with \(x\).
\[
4x + 5 - 5 < 41 - 5
\]
\[
4x < 36
\]

### Step 2: Divide both sides by 4 to solve for \(x\).
\[
x < \frac{36}{4}
\]
\[
x < 9
\]

### Solution: 
The solution to the inequality is \(x < 9\).

Would you like further explanation on any step?

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Here are 5 related questions to deepen your understanding:
1. What is the solution to the inequality \(5x - 7 \leq 28\)?
2. How do you solve the inequality \(6x + 3 > 27\)?
3. What happens if the inequality is \(4x + 5 \geq 41\)?
4. How do you graph the solution \(x < 9\) on a number line?
5. What are the key differences between solving equations and inequalities?

**Tip**: When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign.

Learn how to solve the linear inequality 4x + 5 < 41 with a detailed, step-by-step explanation. This problem introduces key concepts in algebra, such as isolating variables and dividing by constants. Ideal for students in Grades 6-8.

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