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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

1 answer

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