Question

Which statements are TRUE? Select TWO that apply.(2 points)
Responses

4/9>11/20

6/10>4/9

7/10<5/12


2/11<5/7


2/6>7/8

Answer 1

To determine which statements are true, let's evaluate each inequality one by one:

1. **4/9 > 11/20**:
- Converting to decimal: 4/9 ≈ 0.444 and 11/20 = 0.55.
- Therefore, **4/9 is not greater than 11/20**. (False)

2. **6/10 > 4/9**:
- Converting to decimal: 6/10 = 0.6 and 4/9 ≈ 0.444.
- Therefore, **6/10 is greater than 4/9**. (True)

3. **7/10 < 5/12**:
- Converting to decimal: 7/10 = 0.7 and 5/12 ≈ 0.416.
- Therefore, **7/10 is not less than 5/12**. (False)

4. **2/11 < 5/7**:
- Converting to decimal: 2/11 ≈ 0.182 and 5/7 ≈ 0.714.
- Therefore, **2/11 is less than 5/7**. (True)

5. **2/6 > 7/8**:
- Converting to decimal: 2/6 ≈ 0.333 and 7/8 = 0.875.
- Therefore, **2/6 is not greater than 7/8**. (False)

Based on this evaluation, the statements that are true are:

- **6/10 > 4/9**
- **2/11 < 5/7**