To solve the inequality \( x + 22 \leq 45 \), follow these steps:

1. **Subtract 22 from both sides** to isolate \( x \) on one side of the inequality:

\[
x + 22 - 22 \leq 45 - 22
\]

2. Simplify the equation:

\[
x \leq 23
\]

So, the solution to the inequality is:

\[
x \leq 23
\]

This means \( x \) can be any number less than or equal to 23.

Would you like more details or have any questions?

Here are five related questions you might find interesting:
1. How would the solution change if the inequality were \( x + 22 \geq 45 \)?
2. What happens if the inequality is strict, \( x + 22 < 45 \)?
3. How do you solve \( 2x + 22 \leq 45 \)?
4. What are the steps to solve \( x + 22 > 45 \)?
5. Can you graph the solution to the inequality \( x + 22 \leq 45 \)?

**Tip:** When solving inequalities, you can treat them like equations, but remember that multiplying or dividing by a negative number reverses the inequality sign.

Learn how to solve the inequality x + 22 ≤ 45 with a detailed step-by-step solution. This problem covers key algebraic concepts, including inequalities and basic algebra. Suitable for students in Grades 7-9.

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