A student scored 83 and 91 on her first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
(1 point)
Responses
85 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 90; 81 is less than or equal to n is less than or equal to 96
Image with alt text: 85 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 90; 81 is less than or equal to n is less than or equal to 96
85 is less than or equal to 83 plus 91 divided by 2 is less than or equal to n; negative 2 is less than or equal to n is less than or equal to 3
Image with alt text: 85 is less than or equal to 83 plus 91 divided by 2 is less than or equal to n; negative 2 is less than or equal to n is less than or equal to 3
90 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 85; 96 is less than or equal to n is less than or equal to 81
Image with alt text: 90 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 85; 96 is less than or equal to n is less than or equal to 81
83 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 90; 73 is less than or equal to n is less than or equal to 94
Image with alt text: 83 is less than or equal to 83 plus 91 plus n divided by 3 is less than or equal to 90; 73 is less than or equal to n is less than or equal to 94
85 is less than or equal to 83 + 91 + n/3 is less than or equal to 90; 81 is less than or equal to n is less than or equal to 96.
Therefore, the possible values for the third quiz score that would give her an average between 85 and 90, inclusive, are n between 81 and 96.