Inequality Word Problems

Front

Define the variable in the context of Ruby's savings goal: Ruby set a goal of saving at least $200 in a savings account. She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Back

let x = the number of weeks to reach her goal.

Front

Write the inequality for Pet Supplies' profit goal: Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?

Back

5.50x ≥ 5225.

Front

Determine the minimum sales amount for Griffin: Griffin earns a weekly salary of $300 and a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of at least $550?

Back

x ≥ $6250.

Front

Formulate the inequality for Todd's fish catch: Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

Back

3y ≥ 63.

Front

Set up the inequality for Katie's speed: The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding?

Back

30 + s ≤ 45.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates a minimum value that must be met or exceeded, represented by '≥' in inequalities.

Front

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

Back

'No more than' indicates a maximum value that cannot be exceeded, represented by '≤' in inequalities.

Front

How do you solve an inequality?

Back

To solve an inequality, isolate the variable on one side using inverse operations, similar to solving an equation.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.