Which is a false statement?(1 point)

Responses

38≤616
Start Fraction 3 over 8 End Fraction less-than-or-equal-to Start Fraction 6 over 16 End Fraction

38≥616
Start Fraction 3 over 8 End Fraction greater-than-or-equal-to Start Fraction 6 over 16 End Fraction

38<616
Start Fraction 3 over 8 End Fraction less than Start Fraction 6 over 16 End Fraction

38=616

1 answer

Let's evaluate each of the statements to identify which one is false.

  1. 38 ≤ 616: This statement is true because 38 is less than 616.

  2. \( \frac{3}{8} \leq \frac{6}{16} \): This statement is also true. To compare, we can simplify \( \frac{6}{16} \) to \( \frac{3}{8} \), making the statement \( \frac{3}{8} \leq \frac{3}{8} \), which is true.

  3. 38 ≥ 616: This statement is false because 38 is not greater than or equal to 616.

  4. \( \frac{3}{8} > \frac{6}{16} \): This statement is false as we established earlier that \( \frac{3}{8} = \frac{6}{16} \).

  5. 38 = 616: This statement is also false because 38 is not equal to 616.

Given these evaluations, the false statements are:

  • 38 ≥ 616
  • \( \frac{3}{8} > \frac{6}{16} \)
  • 38 = 616

Among these, the first one listed (38 ≥ 616) is the most straightforwardly false as it portrays a comparative inequality that directly contradicts the numerical values.

Answer: 38 ≥ 616

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