In a sports poll, 53% of those surveyed believe their high school football team I’ll win the state championship. The poll shows a margin of error of 0.5 percentage points. Write and solve an absolute value inequality to find the least and the greatest percent of people that think their team will win the state championship

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Answer:

|p-53| <= 5

Step-by-step explanation:

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The absolute value expression depicting the least and greatest percentage of people who think their team the championship is :

  • (53%-5%) ≤ p ≤ (53%+5%)
  • 48% ≤ p ≤ 58%

  • The absolute value expression gives the least and greatest value attainable due to a given error value.

  • The given percentage = 53%
  • Error value = 5%

  • Least percentage of students = (53% - 5%) = 48%

  • Greatest percentage of students = (53% + 5%) = 58%

Therefore, the absolute value expression for the scenario described is 48% ≤ p ≤ 58%

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