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, or equal to the other. It uses symbols like <, >, ≤, and ≥.

Front

How do you write an inequality from a word problem?

Back

Identify the quantities involved, determine the relationship between them, and express that relationship using inequality symbols.

Front

In the problem, 'Cody has $30 to spend on pencils. He wants to buy a gel pen for $10 and spend the rest on ball pens. Each ball pen costs $5.' What inequality represents the number of ball pens he can buy?

Back

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left can be less than or equal to the value on the right.

Front

In the problem, 'East Hoke Middle School Gospel Choir rented an auditorium for $700. If they charge $30 per ticket, how many tickets will they need to sell to raise at least $1000 profit?' What inequality represents this situation?

Back

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left can be greater than or equal to the value on the right.

Front

In the problem, 'Timothy has an account balance of $50. He deposits $30 after work every day. How many days will he need to deposit $30 before he has at least $500?' What inequality represents this situation?

Back

Front

In the problem, 'Savannah spent $7 to buy supplies for a lemonade stand. She plans to sell each cup for $0.50. How many cups will Savannah need to sell to make more than $20?' What inequality represents this situation?

Back

Front

In the problem, 'Karen has $20 to spend. She buys lunch for $14 and spends the rest on banana biscuits. Each banana biscuit costs $3.' What inequality represents how many banana biscuits she can buy?

Back

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality by performing inverse operations.