Front

What is a linear inequality?

Back

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality using inverse operations, similar to solving an equation. Remember to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the solution of a linear inequality represent?

Back

The solution of a linear inequality represents a range of values that satisfy the inequality, often expressed as an interval or a graph on a number line.

Front

What is the difference between a strict and non-strict inequality?

Back

A strict inequality uses < or >, meaning the values cannot equal the boundary. A non-strict inequality uses ≤ or ≥, meaning the values can equal the boundary.

Front

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

Back

To graph a linear inequality on a number line, use an open circle for strict inequalities (<, >) and a closed circle for non-strict inequalities (≤, ≥). Shade the region that represents the solution.

Front

Back

Front

Back

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical question presented in a narrative form, requiring the reader to extract relevant information and formulate a mathematical expression or equation to find a solution.

Front

How do you approach solving a word problem?

Back

1. Read the problem carefully. 2. Identify the known and unknown variables. 3. Translate the words into a mathematical equation. 4. Solve the equation. 5. Interpret the solution in the context of the problem.

Front

What is the importance of checking your solution in inequalities?

Back

Checking your solution ensures that the values satisfy the original inequality. It helps confirm that the solution is correct and that no mistakes were made during the solving process.