Astudent 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

The compound inequality is

The values for third test score are

Step-by-step explanation:

Let the score in the third test is x.

The mean of the scores is given by

Now, it has been given that average is in between 85 and 90, inclusive. Hence, we have the below compound inequality

Now, we can easily solve this compound inequality to find the range of the score of third test