Which of the following is a true statement?

Options

A. `-11 gt -8`
B. `-11lt -8`
C. -11 and -8 cannot be compared
D. `12lt0`

Answer

To determine which of the statements is true, we will analyze each option step by step.

### Step 1: Understand the Number Line
On a number line, positive numbers are to the right of zero, and negative numbers are to the left. The further left you go, the smaller the number. For example, -1 is greater than -2, and -2 is greater than -3.

### Step 2: Analyze Each Statement

**Statement 1:** -11 > -8
- Here, we compare -11 and -8. Since -11 is to the left of -8 on the number line, -11 is actually smaller than -8.
- **Conclusion:** This statement is **false**.

**Statement 2:** -11 < -8
- In this case, we compare -11 and -8 again. Since -11 is to the left of -8, it is indeed smaller than -8.
- **Conclusion:** This statement is **true**.

**Statement 3:** -11 and -8 cannot be compared.
- This statement is incorrect because we can compare -11 and -8. We have already established that -11 is smaller than -8.
- **Conclusion:** This statement is **false**.

**Statement 4:** -12 > 0
- Here, we compare -12 and 0. Since -12 is to the left of 0 on the number line, it is smaller than 0.
- **Conclusion:** This statement is **false**.

### Final Conclusion
The only true statement among the options is **Statement 2:** -11 < -8.

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