Question

In a poll, 44% of the voters say they plan to reelect the mayor. The poll has a margin of error of ±3 percentage points. Use a model to write and solve an absolute value inequality to find the least and greatest percents of voters who plan to reelect the mayor. Response - correct |x−3|≤44 |x−3|≥44 |x−44|≤3 |x−44|≥3 Question 2 The least percent of voters who will vote for the new mayor is %. The greatest percent of voters who will vote for the new mayor is %.

Answer 1

Kindly check explanation

Explanation:

Given the following :

Percentage of voters who plan to re-elect mayor = 44%

Margin of Error in measurement = ±3 % points

The absolute value inequality to find the lowest and greatest percent of points :

X = mid value

44% = estimated percentage

≤3 = error margin

Hence,

|mid value - estimate| ≤ error margin

|x−44|≤3

Hence,

-3 ≤ x - 44 ≤ +3

-3 + 44 ≤ x ≤ 3 + 44

41 ≤ x ≤ 47

Hence,

Least percentage point = 41

Greatesr percentage point = 47