Asurvey of the students in lance’s school found that 58% of the respondents want the school year lengthened, while 42% think it should remain the same. the margin of error of the survey is ±10%.
according to the survey data, at least
% of students want the duration of the school year to remain unchanged, and at least
% want the school year to be lengthened.

According to the survey data:

at least  32% of students want the duration of the school year to remain unchanged, and

at least  48% want the school year to be lengthened.

Margin of error--

The margin of error is the small amount that leads to the miscalculation of some value.

We are given that:

The margin of error of the survey is ±10%.

  Hence, due to the margin of error the percent of students who want school year to be lengthened lie between:

              (58-10)% to  (58+10)%

               i.e. 48% to 68%.

Similarly,

Hence, due to the margin of error the percent of students who want school year to remain same lie between:

              (42-10)% to  (42+10)%

               i.e. 32% to 52%.