Which inequality is true when p=3.5
 ?
A.8.5≤2.5+p

B.13.6≤3.9+p

C.3+p<10.2

D.5+p>17.1


Let's evaluate each inequality by substituting \( p = 3.5 \) into the inequalities.

**A.** \( 8.5 \leq 2.5 + p \)
- Substituting \( p = 3.5 \):  
  \( 8.5 \leq 2.5 + 3.5 \)  
  \( 8.5 \leq 6.0 \), which is **false**.

**B.** \( 13.6 \leq 3.9 + p \)
- Substituting \( p = 3.5 \):  
  \( 13.6 \leq 3.9 + 3.5 \)  
  \( 13.6 \leq 7.4 \), which is **false**.

**C.** \( 3 + p < 10.2 \)
- Substituting \( p = 3.5 \):  
  \( 3 + 3.5 < 10.2 \)  
  \( 6.5 < 10.2 \), which is **true**.

**D.** \( 5 + p > 17.1 \)
- Substituting \( p = 3.5 \):  
  \( 5 + 3.5 > 17.1 \)  
  \( 8.5 > 17.1 \), which is **false**.

### The correct inequality is **C**: \( 3 + p < 10.2 \).

Would you like further details or have any other questions? Here are some related questions for practice:

1. Solve \( 2x + 5 \leq 10 \).
2. Which inequality is true when \( p = -2.5 \)?
3. If \( p = 4.2 \), evaluate \( 7 + p > 10 \).
4. What is the solution to \( x + 7 < 15 \) when \( x = 6 \)?
5. Find the range of values for \( p \) that satisfy \( p + 4 \leq 12 \).

**Tip:** Always substitute values step by step to avoid mistakes in inequalities!

Which inequality is true when p = 3.5? A. 8.5 ≤ 2.5 + p, B. 13.6 ≤ 3.9 + p, C. 3 + p < 10.2, D. 5 + p > 17.1

Find out which inequality is true when p = 3.5. Explore the correct steps for solving inequalities such as 3 + p < 10.2, with clear explanations. Suitable for Grades 6-8 students learning algebraic concepts and inequalities.

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