Solve the compound inequality. Other than ∅, use interval notation to express the solution set and graph the
solution set on a number line.
-On the first four exams, your grades are $76,89,62$, and $77 .$ There is still a final exam, and it counts as two grades. You are hoping to earn a $\mathrm { C }$ in the course. This will occur if the average of your six exam grades is greater than or equal to 70 and less than 80 . What range of grades on the final exam will result in earning a C?
A) $[ 58,88 )$
B) $[ 58,88 ]$
C) $[ 46,96 )$
D) $[ 46,96 ]$

Question

Quizplus · Accepted Answer

To find the range of grades on the final exam, let $ x $ be the grade on the final exam. The average of the six grades is $(76 + 89 + 62 + 77 + x + x)/6$. Set up the inequality $70 \leq (304 + 2x)/6 < 80$. Solving gives $58 \leq x < 88$.

Solve the Compound Inequality 76,89,6276,89,6276,89,62 , And 77.77 .77. There Is Still a Final Exam, and It Counts as to Express

Solve the Compound Inequality $76,89,62$ , And $77 .$ There Is Still a Final Exam, and It Counts as to Express