Question

derek is setting a limit on the amount of time he can spend playing farming wars on weekdays. he splits the time evenly among each of the 5 days. to stay under his limit, derek figures he should spend less than 1.5 hours playing each day. let x represent how many hours derek wants to spend playing farming wars in all. which inequality describes the problem? solve the inequality. then, complete the sentence to describe the solution. derek wants to spend less than hours playing farming wars in all.

Explanation:

Step1: Analyze the inequality

Since Derek splits the total time \(x\) evenly among 5 days and should spend less than 1.5 hours each day, the inequality is \(\frac{x}{5}<1.5\).

Step2: Solve the inequality

Multiply both sides of \(\frac{x}{5}<1.5\) by 5.
\(x < 1.5\times5\)
\(x<7.5\)

Answer:

Derek wants to spend less than \(7.5\) hours playing Farming Wars in all.