Question

# Use the strategy for solving word problems modeling the verbal conditions of the problem with a linear inequality. On two examinations, you have grade

Modeling
Use the strategy for solving word problems modeling the verbal conditions of the problem with a linear inequality. On two examinations, you have grades of 86 and 88. There is an optional final examination, which counts as one grade. You decide to take the final in order to get a course grade of A, meaning a final average of at least 90. What must you get on the final to earn an A in the course?

We write the inequality which models the problem: $$\displaystyle\frac{{{86}+{88}+{x}}}{{3}}\Rightarrow{90}$$
We solve the inequality: $$\displaystyle{174}+{x}\Rightarrow{3}{\left({90}\right)}$$
$$\displaystyle{174}+{x}\Rightarrow{270}$$
$$\displaystyle{174}+{x}-{174}\Rightarrow{270}-{174}$$
$$\displaystyle{x}\Rightarrow{96}$$