https://file.aiquickdraw.com/mathbot/file/1725503016278vo19dcjt.jpg

The inequality given in the image is:

\[
-3x > 15
\]

To solve this inequality, we need to isolate \( x \). We can divide both sides of the inequality by \(-3\), but remember that dividing or multiplying by a negative number reverses the inequality sign.

\[
x < \frac{15}{-3}
\]

This simplifies to:

\[
x < -5
\]

So the solution is:

\[
x < -5
\]

Would you like more details or explanations on this? Here are some related questions for practice:

1. How would you solve \( 2x - 3 > 7 \)?
2. What happens when you multiply or divide by a negative number in an inequality?
3. Solve the inequality \( -4x + 1 \geq 9 \).
4. What is the solution to \( 5x + 2 < -8 \)?
5. Can you graph the solution \( x < -5 \) on a number line?

**Tip:** Always be cautious with inequalities when multiplying or dividing by negative numbers, as it reverses the inequality sign.

Learn how to solve the inequality -3x > 15 step by step. This problem demonstrates key concepts in algebra, such as reversing the inequality sign when dividing by a negative number. Perfect for Grades 7-9 students.

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