Writing Inequalities from Word Problems

Front

What is an inequality?

Back

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

Front

How do you represent a word problem as an inequality?

Back

To represent a word problem as an inequality, identify the quantities involved, determine the relationship between them, and express that relationship using inequality symbols.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than', indicating that the value on the left is smaller than the value on the right.

Front

How can you determine the minimum or maximum value in a word problem?

Back

To determine the minimum or maximum value, identify the constraints given in the problem and express them as inequalities.

Front

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

Back

The first step is to translate the words into a mathematical expression or inequality.

Front

In the context of inequalities, what does 'x' typically represent?

Back

In inequalities, 'x' typically represents a variable that denotes an unknown quantity that we are trying to find.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign using inverse operations, similar to solving an equation.

Front

What is the difference between '>' and '≥'?

Back

The symbol '>' means 'greater than' (not including the value), while '≥' means 'greater than or equal to' (including the value).

Front

What is a real-world example of using inequalities?

Back

A real-world example of using inequalities is budgeting, where you might need to ensure that expenses do not exceed a certain amount.