Inequalities Word Problems

The speed of sound is approximately 768

miles per hour. When an object travels faster than the speed of sound, it creates a sonic boom.

Write an inequality that is true only for speeds (s)

at which a moving object creates a sonic boom.

The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.

Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.

If nitrogen is warmer than -320 degrees Fahrenheit, it will be a gas.

Write an inequality that is true only for temperatures (t) at which nitrogen is a gas.

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

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

Jake is younger than Sophie. Sophie is 14 years old.

Write an inequality that compares Jake's age in years, j , to Sophie's age.

At an art auction, Geannina's painting sold for over $300.

Write an inequality that describes P, the price of Geannina's painting in dollars.

Tara is taller than Jeff. Jeff is 47 inches tall.

Write an inequality that compares Tara's height in inches, t , to Jeff's height.

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.

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.

To cook a steak to medium-rare, it needs to have an internal temperature of 135 degrees. A lower internal temperature will undercook the steak.

Write an inequality that is true only for temperatures (t) at which a steak will be undercooked.