Question

b. Write the correct solution of the inequality.The solution is x(Type an integer or a fraction. Simplify your answer.)

Answer 1

The number of innings Barron might have pitched before his latest game, is obtained as follows:

`\begin{gathered} x+6(2)/(3)\ge82(1)/(3) \\ \Rightarrow x\text{ }\ge82(1)/(3)-6(2)/(3) \\ \Rightarrow x\text{ }\ge81(4)/(3)-6(2)/(3) \\ \Rightarrow x\text{ }\ge(81-6)((4)/(3)-(2)/(3)) \\ \Rightarrow x\text{ }\ge(75)((2)/(3)) \\ \Rightarrow x\text{ }\ge75(2)/(3) \end{gathered}`

Thus, the number of innings Barron might have pitched before his latest game is:

`\Rightarrow x\text{ }\ge75(2)/(3)\text{ innings}`