# The graph at left is of the inequality x < = 50 below, describe a situation that could be modeled

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## Answers

There are many ways to answer. The x represents some number. We don't know what the number is, but we know that it must be less than or equal to 50. Put another way, the number can be anything you want as long as it doesn't go past 50. We say that 50 is the so called "ceiling" more or less.

Some examples:

* An elevator can only hold 50 people at maximum. Therefore, x can be any number smaller than 50 or 50 itself. Having 51 or over will be too much.

* You can only work 50 hours for one stretch of some 2 week period. If x is the number of hours you work, then x must be 50 or less as written by [tex]x \le 50[/tex]. So x could be x = 37 as it's less than 50, but x = 62 is not possible.

* For some small ride at a theme park, the seats are designed such that only people 50 inches or less can ride on them. If x is the height of a person in inches, then [tex]x \le 50[/tex] means something like x = 37 is possible but x = 62 is too high.

If x = The cost of a new car it would be greater than 810

Let x be the number of people you can seat in an auditorium. If there are 50 seats max, then you can seat up to 50 people. This means that x can be smaller than 50 or equal to 50.

To write it out in shorthand, we simply say [tex]x \le 50[/tex] (x is less than or equal to 50)

The other routes are longer than 810 miles