Which of the rational numbers `(-4)/(11)` and `(2)/(11)` is greater ?

Options

A. `2/11`
B. `(-4)/11`
C. both are equal
D. can not compare

Answer

To determine which of the rational numbers \(-\frac{4}{11}\) and \(\frac{2}{11}\) is greater, we can follow these steps:

### Step 1: Understand the Values
We have two rational numbers:
- \(-\frac{4}{11}\) (a negative number)
- \(\frac{2}{11}\) (a positive number)

### Step 2: Identify the Sign of Each Number
- The number \(-\frac{4}{11}\) is negative.
- The number \(\frac{2}{11}\) is positive.

### Step 3: Compare the Signs
In the number line:
- Negative numbers are to the left of 0.
- Positive numbers are to the right of 0.

Since all positive numbers are greater than any negative number, we can conclude that:

\[ \frac{2}{11} > -\frac{4}{11} \]

### Step 4: Conclusion
Thus, the greater of the two rational numbers is:

\[ \frac{2}{11} \]