Writing Inequalities Practice

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you represent a situation where a quantity must be at least a certain value?

Back

You use the symbol ≥ to indicate that the quantity is greater than or equal to that value.

Front

What does the inequality 500 - 25x ≥ 200 represent?

Back

It represents a situation where you start with $500 and withdraw $25 each week, wanting to have at least $200 left.

Front

How do you write an inequality for a situation where you need to practice a minimum amount of time?

Back

You add the time already practiced to a variable representing additional time and set it greater than or equal to the minimum required time.

Front

What does the inequality 71 - 3.5x < 50 mean?

Back

It means that the temperature starts at 71°F and decreases by 3.5°F each hour, and we want to find out when it will be less than 50°F.

Front

What is the purpose of using variables in inequalities?

Back

Variables represent unknown quantities that can change, allowing us to express relationships and conditions mathematically.

Front

How do you solve the inequality 363 ≤ 8.25h for h?

Back

Divide both sides by 8.25 to find h: h ≥ 363 / 8.25.

Front

What does the symbol < mean in an inequality?

Back

It means 'less than' and indicates that the left side is smaller than the right side.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ means 'less than or equal to', while < means 'less than' only.

Front

How can you check if a solution to an inequality is correct?

Back

Substitute the solution back into the original inequality to see if it holds true.