Inequalities 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 word problem involving spending limits using inequalities?

Back

You can represent spending limits by creating an inequality where the total cost is less than or equal to the budget.

Front

What does the variable 'x' typically represent in application-based inequality problems?

Back

In application-based inequality problems, 'x' often represents the quantity of items or hours needed to meet a certain condition.

Front

How do you set up an inequality for a problem involving saving money over time?

Back

You set up an inequality by expressing the total amount saved as a function of time and comparing it to the target amount.

Front

What is the first step in solving an inequality word problem?

Back

The first step is to identify the variables and the relationship between them based on the problem's context.

Front

How do you interpret the solution of an inequality in a real-world context?

Back

The solution of an inequality represents the range of values that satisfy the conditions of the problem, often indicating limits on quantities or costs.

Front

What is the significance of the 'greater than or equal to' symbol (≥) in inequalities?

Back

The 'greater than or equal to' symbol indicates that the value can be equal to or exceed a certain threshold.

Front

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

Back

You can check your solution by substituting the value back into the original inequality to see if it holds true.

Front

What is a common mistake when solving inequalities?

Back

A common mistake is to forget to reverse the inequality sign when multiplying or dividing by a negative number.

Front

How do you translate a word problem into an inequality?

Back

Identify key phrases that indicate relationships (like 'no more than', 'at least', etc.) and translate them into mathematical symbols.