Writing Linear Inequalities from word problems

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

How do you represent a situation where a total cost cannot exceed a certain amount?

Back

You write an inequality where the total cost expression is less than or equal to the maximum amount.

Front

If a person has a maximum budget of $50, how would you express this as an inequality?

Back

Let g represent the amount spent. The inequality would be g ≤ 50.

Front

Back

It represents the total cost of buying d stems of daisies at $2 each and t stems of tulips at $3 each, which cannot exceed $12.

Front

How do you express 'at least' in an inequality?

Back

'At least' is expressed using the greater than or equal to symbol (≥). For example, 'at least 25' is written as c ≥ 25.

Front

Back

It signifies that the number of children at the playground is fewer than 150.

Front

How would you express 'no more than' in an inequality?

Back

'No more than' is expressed using the less than or equal to symbol (≤). For example, 'no more than 18 students' is written as s ≤ 18.

Front

What is the difference between < and ≤ in inequalities?

Back

< means 'less than' and does not include the value, while ≤ means 'less than or equal to' and includes the value.

Front

If a problem states 'more than 30', how would you write this as an inequality?

Back

You would write it as x > 30.

Front

Back

It indicates that Grace has $45 or less in her purse.