Question

2x + 10 > 30
Which values are solutions or not solutions of the inequality
6
8
10
12
14

Answer 1

To solve the inequality \(2x + 10 > 30\), we first isolate \(x\):

1. Subtract 10 from both sides:
\[
2x > 30 - 10
\]
\[
2x > 20
\]

2. Divide both sides by 2:
\[
x > \frac{20}{2}
\]
\[
x > 10
\]

Now, we determine which of the provided values (6, 8, 10, 12, 14) satisfy the inequality \(x > 10\).

- **6**: \(6 > 10\) is **false**.
- **8**: \(8 > 10\) is **false**.
- **10**: \(10 > 10\) is **false**.
- **12**: \(12 > 10\) is **true**.
- **14**: \(14 > 10\) is **true**.

### Solutions:
- **12** and **14** are solutions.

### Not Solutions:
- **6**, **8**, and **10** are not solutions.