A student scored 75 and 97 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.

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Step-by-step explanation:

Score of the first two quizzes: 75 and 97

Let n represent the third score

Average score would be: .

Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:

Solve for n in each statement that makes up the compound inequality:

Multiply both sides by 3

Subtract 172 from each side of the inequality

Also,

Multiply both sides by 3

Subtract 172 from both sides of the inequality

Combining both together, the possible values of her third quiz score would be:

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

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