Inequality Word Problems

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you represent a total pay that must be at least a certain amount using an inequality?

Back

You can represent it using the inequality format: total pay ≥ minimum amount.

Front

What is the first step in solving an inequality word problem?

Back

The first step is to define the variables that represent the unknown quantities in the problem.

Front

How do you set up an inequality for a commission-based salary problem?

Back

You set up the inequality by adding the fixed salary to the commission (percentage of sales) and comparing it to the desired total pay.

Front

What is the process to determine when one quantity exceeds another in a word problem?

Back

You set up an inequality that represents the relationship between the two quantities and solve for the variable.

Front

How do you compare costs from two different stores using inequalities?

Back

You set up an inequality that represents the cost of one store being less than the cost of the other store.

Front

What is the significance of the variable 'x' in inequality problems?

Back

The variable 'x' often represents the unknown quantity that you are trying to solve for in the context of the problem.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality indicates the range of values that satisfy the condition set by the inequality.