Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (>, <, ≥, ≤). It shows the relationship between two expressions.

Front

What does it mean to solve a linear inequality?

Back

To solve a linear inequality means to find all values of the variable that make the inequality true.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How do you graph a linear inequality on a number line?

Back

1. Solve the inequality for the variable. 2. Plot the solution on the number line. 3. Use an open circle for < or > and a closed circle for ≤ or ≥. 4. Shade the region that represents the solution.

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.

Front

Back

Front

Back

Front

What does it mean to reverse the inequality sign?

Back

The inequality sign is reversed when both sides of the inequality are multiplied or divided by a negative number.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and translation into mathematical expressions.

Front

How do you approach solving a word problem involving inequalities?

Back

1. Read the problem carefully. 2. Identify the variables. 3. Translate the words into an inequality. 4. Solve the inequality. 5. Interpret the solution in the context of the problem.