Inequality 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

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 situation where a person wants to spend less than a certain amount?

Back

Front

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

Back

The first step is to define the variable that represents the unknown quantity in the problem.

Front

How do you write an inequality for a situation where a person earns a fixed amount plus a variable amount?

Back

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the left side is strictly larger than the right side, while 'greater than or equal to' (≥) means the left side can be larger or equal to the right side.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side of the inequality sign by performing the same operations on both sides, similar to solving an equation.

Front

What does it mean if an inequality has no solution?

Back

If an inequality has no solution, it means there are no values for the variable that can satisfy the inequality.

Front

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

Back

You can check a solution by substituting the value back into the original inequality to see if it makes the inequality true.