Question

Write the inequality, “The captain can fly a maximum of 100 hours a month and he has already flown 52 hours.” Write an inequality to represent this situation and solve the number of hours to satisfy the given problem and graph the solution.

Answer 1

`0\leq t\leq 48` .

Explanation:

The given statement is “The captain can fly a maximum of 100 hours a month and he has already flown 52 hours.”

Let t be the remaining hours in which the captain can fly.

Total hours = (t + 52) hours

Captain can fly a maximum of 100 hours a month. So,

`t+52\leq 100`

Subtract 52 from both sides.

`t\leq 100-52`

`t\leq 48`

Time can not be negative. So,

`0\leq t\leq 48`

It means, captain can fly further 0 to 48 hours.

The graph of this inequality is shown below.