https://file.aiquickdraw.com/mathbot/file/1727295297681benrr365.jpg

To solve the inequality given in the image:

\[
3w + 7 > 19
\]

Here are the steps:

1. Subtract 7 from both sides of the inequality:

\[
3w + 7 - 7 > 19 - 7
\]
\[
3w > 12
\]

2. Divide both sides by 3 to isolate \( w \):

\[
w > \frac{12}{3}
\]
\[
w > 4
\]

The solution is \( w > 4 \).

In the answer box shown, you should choose the "greater than" symbol ( \( > \) ).

Would you like further details on how inequalities work or the reasoning behind these steps?

Here are five related questions to expand your understanding:
1. What happens if the inequality sign is reversed?
2. How do inequalities change when multiplying or dividing by a negative number?
3. Can you explain the difference between strict inequalities (e.g., \( > \)) and non-strict inequalities (e.g., \( \geq \))?
4. How do you graph the solution \( w > 4 \) on a number line?
5. How would you check your solution for an inequality?

**Tip:** Always remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign!

Learn how to solve the inequality 3w + 7 > 19 with step-by-step instructions. This algebra problem involves simplifying an inequality, focusing on key algebraic techniques such as isolating the variable. Ideal for students in Grades 7-9.

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