The inequality presented in the image is:

$x + 8 < 14$

Step-by-Step Solution:

1. Isolate $x$: Subtract $8$ from both sides: $x + 8 - 8 < 14 - 8$ $x < 6$

2. Inequality Notation: The solution is $x < 6$.

3. Graphing the Solution:

   • Draw a number line.
   • Highlight all numbers to the left of $6$ (since $x < 6$).
   • Use an open circle at $6$, because $x$ is strictly less than $6$ (not equal to).

Would you like me to assist you in graphing this or explain it further?

Here are 5 related questions to expand your understanding:

1. How would the solution change if the inequality were $x + 8 \leq 14$?
2. What happens to the inequality when multiplying or dividing by a negative number?
3. How do you represent $x > -2$ on a number line?
4. Why do we use an open circle for $<$ and a closed circle for $\leq$?
5. Can you solve and graph $2x + 4 \geq 10$?

Tip:

Always check your solution by substituting a value of $x$ from the shaded region into the original inequality to verify it works!