https://file.aiquickdraw.com/mathbot/file/1725840102926e6t5oprs.jpg

Solve and graph the solution to each of the inequality

The inequality in the image appears to be:

\[
x - 2 \leq 3
\]

Let's solve the inequality:

1. Add 2 to both sides to isolate \( x \):
   \[
   x - 2 + 2 \leq 3 + 2
   \]
   Simplifying:
   \[
   x \leq 5
   \]

So, the solution to the inequality is:

\[
x \leq 5
\]

### Graph of the Solution:

To graph this inequality on a number line:
- Draw a number line.
- Place a closed circle at \( x = 5 \) to indicate that 5 is included in the solution (because of the "less than or equal to" sign).
- Shade the line to the left of 5 to show that all values less than or equal to 5 are solutions.

Would you like a visual graph of this solution or further details?

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Here are 5 related questions:
1. How would you solve the inequality \( x + 3 \leq 7 \)?
2. What happens if you have a strict inequality like \( x - 2 < 3 \)?
3. How do you solve and graph inequalities that involve division or multiplication by a negative number?
4. Can you solve compound inequalities such as \( 2 < x - 3 \leq 7 \)?
5. How do you graph inequalities on a coordinate plane?

**Tip:** Always remember to reverse the inequality symbol when multiplying or dividing both sides by a negative number.

Solve and graph the solution to each of the inequality.

Learn how to solve and graph the linear inequality x - 2 ≤ 3 with a step-by-step solution. This problem covers key algebraic concepts like inequalities and the Addition Property of Inequality. Suitable for students in Grades 6-8.

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