To solve the inequality:

\[
x + 4.5 \leq 3.5
\]

### Step 1: Isolate \(x\)
Subtract 4.5 from both sides of the inequality:

\[
x \leq 3.5 - 4.5
\]

### Step 2: Simplify the right-hand side
\[
x \leq -1
\]

Thus, the solution is:

\[
x \leq -1
\]

Would you like further details or have any questions about this?

Here are 5 related questions to deepen your understanding:
1. What happens if we multiply or divide the inequality by a negative number?
2. How would the solution change if the inequality was strict, i.e., \( x + 4.5 < 3.5 \)?
3. What is the graphical representation of \( x \leq -1 \) on a number line?
4. How do you solve compound inequalities involving "and" or "or"?
5. What is the difference between solving an inequality and solving an equation?

**Tip:** When working with inequalities, remember that multiplying or dividing both sides by a negative number reverses the inequality symbol!

Learn how to solve the linear inequality x + 4.5 ≤ 3.5 with a step-by-step solution. This problem introduces key concepts in algebra, focusing on inequalities and the proper manipulation of terms. Ideal for students in Grades 6-8.

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