This lesson will show you how to write an inequality to describe a real-world situation.
Key words to keep in mind.
At most means " no more than, " " less than or equal to, " or " not greater than"
At least means " no less than " or " greater than or equal to "
Now, let us practice by writing inequalities for the following situations.
Example #1
Suppose a low-sodium food has at most 140 mg per serving.
Solution
Let s = number of milligrams of sodium in a serving of low-sodium food.
Example #2
The height of a human being is not greater than 10 feet.
Solution
Let h be the height of a human being
Example #3
Foods with high amount of fiber have at least 5 g of fiber per serving.
Solution
Let f be number of grams of fiber in High-fiber foods.
Example #4
Alfred's weekly income is at least 500 dollars with a fixed income of 200 dollars for working at the bank and making 12 dollars and hour at another job.
Solution
Let x be the number of hours worked weekly.
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Learn how to derive the equation of an ellipse when the center of the ellipse is at the origin.