If  15<-2x-7
, then which of the following must be
true?

To solve the inequality \( 15 < -2x - 7 \), we'll isolate \( x \) step by step.

1. **Add 7 to both sides:**
   \[
   15 + 7 < -2x \implies 22 < -2x
   \]

2. **Divide both sides by -2:** (Remember, when you divide by a negative number, the inequality sign flips)
   \[
   \frac{22}{-2} > x \implies -11 > x \implies x < -11
   \]

So, the solution to the inequality is \( x < -11 \).

**Conclusion:** The statement that must be true is that \( x \) is less than -11.

If you have any specific options you'd like me to evaluate based on this solution, please share them!

### Would you like more details or have any questions? Here are some related questions to consider:

1. What happens if the inequality is reversed?
2. How would the solution change if the original inequality were \( 15 > -2x - 7 \)?
3. Can you graph the solution \( x < -11 \)?
4. What is the significance of flipping the inequality sign?
5. How do you check if a specific value satisfies the inequality? 

**Tip:** Always remember to flip the inequality sign when dividing or multiplying by a negative number!

If 15 < -2x - 7, then which of the following must be true?

Explore the solution to the inequality 15 < -2x - 7 with step-by-step guidance. Learn about isolating variables, flipping inequality signs, and understanding the solution x < -11. Ideal for Grades 7-9.

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