Inequality 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 represent a situation where a person needs to earn at least a certain amount of money?

Back

You can represent this situation using an inequality, such as 'x ≥ amount', where x is the amount earned.

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

How can you express a maximum limit in an inequality?

Back

You can express a maximum limit using 'x ≤ maximum', where x is the variable representing the quantity.

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.

Front

How do you solve the inequality 15h ≥ 105 for h?

Back

Divide both sides by 15: h ≥ 7.

Front

What is the significance of the solution to an inequality?

Back

The solution to an inequality represents all possible values of the variable that satisfy the condition.

Front

How do you interpret the inequality k ≤ 62 in a real-world context?

Back

It means that the height of a child (k) must be 62 inches or less to play on the playground.

Front

What is the relationship between speed and the inequality 30 + s ≤ 45?

Back

This inequality shows that Katie's speed (30 mph plus the amount she speeds up, s) must be less than or equal to the speed limit of 45 mph.