Writing 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 write an inequality from a word problem?

Back

Identify the key quantities and relationships in the problem, then translate them into a mathematical expression using inequality symbols.

Front

Translate the phrase 'A number decreased by 9 is more than 15' into an inequality.

Back

Front

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

Back

'>' means 'greater than'.

Front

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

Back

'<' means 'less than'.

Front

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

Back

'≥' means 'greater than or equal to'.

Front

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

Back

'≤' means 'less than or equal to'.

Front

Katie wants to have at least $200 in her bank account. If she has $25 and earns $12 per dog walked, how do you express this situation as an inequality?

Back

Front

If the total cost of hiring a DJ is $125 per hour plus $55 for an assistant, how do you express the maximum hours the DJ can work if the total cost must be under $600?

Back

Front

Joan needs $100 for a calculator. If she earns $5 per hour babysitting and has $10 from mowing, how do you express the minimum hours she needs to babysit?

Back