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.