The image shows the inequality $x + 3 \leq 2$. Let's solve this inequality and then graph the solution.

Solution:

1. Start with the inequality: $x + 3 \leq 2$
2. Subtract 3 from both sides to isolate $x$: $x \leq 2 - 3$ $x \leq -1$

So, the solution to the inequality is $x \leq -1$.

Graphing the solution:

• The graph of this inequality consists of all values of $x$ that are less than or equal to $-1$.
• On a number line:
  • Draw a solid dot at $x = -1$ to represent that $-1$ is included in the solution.
  • Shade all values to the left of $-1$ (indicating $x < -1$).

Would you like me to graph this on a number line, or would you like more details on any step?

Here are 5 related questions for practice:

1. How would the solution change if the inequality was $x + 3 < 2$?
2. What happens if you multiply both sides of an inequality by a negative number?
3. How do you solve the inequality $2x - 5 \geq 3$?
4. What is the graphical difference between $x \leq -1$ and $x < -1$?
5. Can inequalities have multiple solutions, and how would you graph such cases?

Tip: When solving inequalities, always reverse the inequality sign if you multiply or divide by a negative number.