Writing Inequalities Using 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 use appropriate inequality symbols to express that relationship mathematically.

Front

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

Back

'≥' 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

'>' means 'greater than', indicating that the value on the left is strictly greater than the value on the right.

Front

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

Back

'≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

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

Back

'<' means 'less than', indicating that the value on the left is strictly less than the value on the right.

Front

How can 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, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What is the first step in translating a word problem into an inequality?

Back

The first step is to identify the key quantities and relationships described in the problem, including any constraints or limits.

Front

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

Back

'At least' indicates a minimum value, which is represented by a '≥' inequality.

Front

In the context of inequalities, what does 'more than' indicate?

Back

'More than' indicates a value that exceeds another, which is represented by a '>' inequality.