Question

solving inequalities in real life 1. Marcus needs to bike at least 80 miles this week for his training. If he has already biked 25 miles this week, then how many miles should he bike on each of the 5 remaining days this week?

Answer 1

`\begin{gathered} \text{Let:} \\ x=\text{Number of miles} \end{gathered}`

So:

`5x+25\ge80`

Solving the inequality:

`\begin{gathered} \text{Subtract 25 from both sides:} \\ 5x\ge80-25 \\ 5x\ge55 \\ \text{divide both sides by 5:} \\ x\ge(55)/(5) \\ x\ge11 \end{gathered}`

Therefore he should bike at least 11 miles on each of the 5 remaining days