What is the smallest integer that can satisfy the previous inequality

Mathematics

ScanSolve AI Answer

Answer

4

Step-by-step solution

3 steps

Let's find the smallest integer for the inequality x>277x > \frac{27}{7}.

  1. Convert the fraction to a decimal to better understand its value.

    277≈3.857\frac{27}{7} \approx 3.857
  2. Interpret the inequality.

    The inequality x>277x > \frac{27}{7} means that xx must be a number strictly greater than approximately 3.857.

  3. Identify the smallest integer that satisfies the condition.

    The integers greater than 3.857 are 4,5,6,…4, 5, 6, \dots.
    The smallest integer in this set is 4.

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