Practice: Compound Inequality Problems

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

How do you solve a compound inequality with 'and'?

Back

To solve a compound inequality with 'and', find the intersection of the solution sets of the individual inequalities.

Front

How do you solve a compound inequality with 'or'?

Back

To solve a compound inequality with 'or', find the union of the solution sets of the individual inequalities.

Front

What does the symbol '<=' mean?

Back

The symbol '<=' means 'less than or equal to'.

Front

What does the symbol '>=' mean?

Back

The symbol '>=' means 'greater than or equal to'.

Front

How do you represent a budget constraint in an inequality?

Back

A budget constraint can be represented as an inequality where the total cost is less than or equal to the budget.

Front

Write a compound inequality for the following: The temperature must be between 70 and 80 degrees Fahrenheit.

Back

70 <= temperature <= 80

Front

Write a compound inequality for the following: The speed of a car must be at least 50 miles per hour and no more than 60 miles per hour.

Back

50 <= speed <= 60

Front

If a game costs $3 and you have $15, how would you write an inequality to represent the number of games you can play?

Back

3x <= 15, where x is the number of games.

Front

What is the solution to the inequality 2x + 10 ≤ 25?

Back

x ≤ 7.5