Review of Inequalities

Watch this lecture series and complete the interactive exercises to review what an inequality is, what it means to find a solution set, and how to represent it on a number line.

Inequalities word problems - Questions

1. The Russo-Japanese War was a conflict between Russia and Japan that started in the year 1904.

Let x represent any year. Write an inequality in terms of x and 1904 that is true only for values of x that represent years before the start of the Russo-Japanese War.


2. John's goal is to have more than -7 dollars in his bank account by the end of the month.

The variable d is the number of dollars in John's bank account at the end of the month.

Write an inequality in terms of d that is true only if John meets his monthly goal.


3. Water boils at 212^{\circ} Fahrenheit.

Write an inequality that is true only for temperatures (t) that are higher than the boiling point of water.


4.Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 11 kilograms, and Ruth is lighter than Scoonsie.

Write an inequality that describes r, Ruth's weight in kilograms.