Which inequality is true when the value of pp is 99?
Answer
Multiple Choice Answers
p, plus, 1, is greater than, minus, 9p+1>−9
minus, p, plus, 1, is less than, minus, 9−p+1<−9
p, plus, 1, is less than, minus, 9p+1<−9
minus, p, plus, 1, is greater than, 9−p+1>9

Let's go through each inequality and plug in \( p = 99 \) to see which one holds true:

1. **\( p + 1 > -9 \)**  
   Plugging in \( p = 99 \):  
   \( 99 + 1 > -9 \)  
   \( 100 > -9 \), which is **true**.

2. **\( -p + 1 < -9 \)**  
   Plugging in \( p = 99 \):  
   \( -(99) + 1 < -9 \)  
   \( -99 + 1 < -9 \)  
   \( -98 < -9 \), which is **true**.

3. **\( p + 1 < -9 \)**  
   Plugging in \( p = 99 \):  
   \( 99 + 1 < -9 \)  
   \( 100 < -9 \), which is **false**.

4. **\( -p + 1 > 9 \)**  
   Plugging in \( p = 99 \):  
   \( -(99) + 1 > 9 \)  
   \( -99 + 1 > 9 \)  
   \( -98 > 9 \), which is **false**.

### Conclusion:
The true inequalities when \( p = 99 \) are:
1. \( p + 1 > -9 \)
2. \( -p + 1 < -9 \)

Let me know if you'd like further explanation!

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**5 related questions:**
1. How do you solve inequalities involving a single variable?
2. What are the rules for solving inequalities when multiplying or dividing by negative numbers?
3. How do you graph the solution of an inequality on a number line?
4. What is the difference between strict inequalities (>, <) and non-strict inequalities (≥, ≤)?
5. How do inequalities change when variables are substituted?

**Tip:** Always reverse the inequality sign when multiplying or dividing both sides by a negative number!

Which inequality is true when the value of pp is 99? Answer: Multiple Choice Answers: p + 1 > -9, -p + 1 < -9, p + 1 < -9, -p + 1 > 9

Explore how to solve inequalities by substituting p = 99 in various inequality expressions. Learn key algebraic rules for inequalities, including when to reverse the inequality sign. This problem is suitable for students in Grades 6-8.

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