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, or not equal to the other.

Front

How do you represent a goal using an inequality?

Back

You can represent a goal using an inequality by setting up an expression that shows the minimum or maximum value needed to achieve that goal.

Front

What does the variable 'x' typically represent in word problems involving inequalities?

Back

In word problems involving inequalities, 'x' often represents the unknown quantity that needs to be determined, such as time, amount, or number of items.

Front

How do you solve a simple inequality?

Back

To solve a simple inequality, isolate the variable on one side of the inequality sign by performing inverse operations, similar to solving an equation.

Front

What is the significance of the solution to an inequality?

Back

The solution to an inequality indicates the range of values that satisfy the condition set by the inequality.

Front

What does 'at least' mean in the context of inequalities?

Back

'At least' means that the value must be greater than or equal to a certain number, which is represented by a '≥' sign in an inequality.

Front

What does 'under' mean in the context of inequalities?

Back

'Under' means that the value must be less than a certain number, which is represented by a '<' sign in an inequality.

Front

How can you express a situation where you need to collect a certain number of items over a period of time?

Back

You can express this situation using an inequality that combines the current amount and the product of the number of weeks and the amount collected each week.

Front

What is the first step in solving a word problem involving savings?

Back

The first step is to identify the total amount needed, the current amount saved, and the rate of saving per time period.

Front

How do you define a variable in a word problem?

Back

You define a variable by stating what it represents in the context of the problem, such as the number of weeks needed to save a certain amount.