SOLUTION: In a survey, 61% of the people asked said they would vote yes for the town budget. The margin of error is 2.5%. The inequality |n - 61| ≤ 2.5 can be used to find the range of

Algebra ->  Inequalities -> SOLUTION: In a survey, 61% of the people asked said they would vote yes for the town budget. The margin of error is 2.5%. The inequality |n - 61| ≤ 2.5 can be used to find the range of      Log On


   

Question 964062: In a survey, 61% of the people asked said they would vote yes for the town budget. The margin of error is 2.5%. The inequality |n - 61| ≤ 2.5 can be used to find the range of votes likely to vote yes for the budget
Which shows the solution to this inequality?
A) 58.5 ≤ n ≤ 61
B) 58.5 ≤ n ≤ 63.5
C) 61 ≤ n ≤ 63.5
D) 2.5 ≤ n ≤ 63.5
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28n-61%29%3C=2.5
This means that either %28n-61%29%3C=2.5 or -%28n-61%29%3C=2.5
Let's take %28n-61%29%3C=2.5 first
add 61 to each side
n%3C=63.5
Now the second equation, -%28n-61%29%3C=2.5
-n%2B61+%3C=2.5
multiply each side by -1 which will change the direction of the inequality.
n+-61+%3E=+-2.5
add 61 to each side
n+%3E=+58.5
So we have n%3C=63.5 and n+%3E=+58.5
which can be rewritten
58.5%3C=n%3C=63.5