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 it mean to solve an inequality?

Back

To solve an inequality means to find all the values of the variable that make the inequality true.

Front

What is the inequality symbol for 'greater than or equal to'?

Back

The symbol is '≥'.

Front

What is the inequality symbol for 'less than'?

Back

The symbol is '<'.

Front

How do you represent a situation where a person must save at least a certain amount of money?

Back

You can represent this with an inequality, such as x ≥ amount.

Front

If a person has a certain amount of money and saves a fixed amount weekly, how can you express the total savings after weeks?

Back

Total savings can be expressed as initial amount + (weekly savings * number of weeks).

Front

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

Back

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

Front

What does 'no more than' mean in an inequality?

Back

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

Front

How do you define a variable in a word problem?

Back

You define a variable by stating what it represents, such as 'let x = the number of cars washed'.

Front

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

Back

The first step is to identify the variable and what it represents in the context of the problem.