Example Card: Using the Addition Property of Inequality
Write, solve, and graph inequalities in Grade 9 Algebra. Understand solution sets, open vs. closed circles on number lines, and interval notation. (Saxon Algebra 1, Grade 9)
Key Concepts
Just like with equations, our first step is to isolate the variable. This first key idea from our lesson, the Addition Property of Inequality, is the perfect tool for the job.
Example Problem Solve the inequality $x 12 < 5$ and graph the solution on a number line.
Step by Step 1. Start with the given inequality. $$x 12 < 5$$ 2. Use the Addition Property of Inequality by adding $12$ to both sides. $$x 12 + 12 < 5 + 12$$ 3. Simplify the expression to find the solution. $$x < 7$$ 4. To graph this, we place an open circle at $7$ because $7$ is not included in the solution. We then shade the number line to the left of $7$.
Common Questions
What is Example Card: Using the Addition Property of Inequality in Grade 9 Algebra?
Just like with equations, our first step is to isolate the variable Mastering this concept builds a foundation for advanced algebra topics.
How do you approach Example Card: Using the Addition Property of Inequality problems step by step?
This first key idea from our lesson, the Addition Property of Inequality, is the perfect tool for the job Use this method consistently to avoid common errors.
What is a common mistake when studying Example Card: Using the Addition Property of Inequality?
Example Problem Solve the inequality and graph the solution on a number line Always check your work by substituting back into the original problem.