Example Card: Solving Inequalities by Reversing the Sign
Master Solving Inequalities by Reversing the Sign in Grade 9 Algebra 1. Remembering to flip the inequality sign is crucial when working with negative multipliers.
Key Concepts
Remembering to flip the inequality sign is crucial when working with negative multipliers. Let's see this key idea of solving two step inequalities in action.
Example Problem : Solve the inequality $12 4x 32$ and graph the solution.
1. Start with the given inequality. $$ 12 4x 32 $$ 2. To begin isolating the variable term, subtract $12$ from both sides. $$ 4x 20 $$ 3. Divide both sides by $ 4$. Because you are dividing by a negative number, you must reverse the direction of the inequality sign. $$ x < 5 $$ 4. To graph the solution, place an open circle on $ 5$ to show that $ 5$ is not a solution. Then, shade the number line to the left of the circle to represent all numbers less than $ 5$.
Common Questions
What is Solving Inequalities by Reversing the Sign in Algebra 1?
Solving Inequalities by Reversing the Sign is a core Grade 9 Algebra 1 concept covering properties and applications.
How do you work with Solving Inequalities by Reversing the Sign in Grade 9 math?
Solving an inequality is just like solving a regular equation, with one crucial exception! Think of it like a seesaw. If you multiply or divide both sides by a negative number, the whole thing flips. You have to flip the inequality sign (like to ) to keep the statement true. The goal is to get the v.
What are common mistakes when learning Solving Inequalities by Reversing the Sign?
Solving an inequality is just like solving a regular equation, with one crucial exception! Think of it like a seesaw. If you multiply or divide both sides by a negative number, the whole thing flips. You have to flip the inequality sign (like to ) to keep the statement true. The goal is to get the variable by itself. Let's see how it works. Test-st.