Writing Equations and 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

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'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

How can you check if a solution to an inequality is correct?

Back

Substitute the solution back into the inequality to see if it makes the statement true.

Front

What is the first step in solving a word problem involving inequalities?

Back

Read the problem carefully to understand what is being asked and identify the key quantities.

Front

In the context of inequalities, what does 'at least' indicate?

Back

'At least' indicates a minimum value, which translates to a 'greater than or equal to' inequality.

Front

In the context of inequalities, what does 'no more than' indicate?

Back

'No more than' indicates a maximum value, which translates to a 'less than or equal to' inequality.