Summary for solving one variable inequalities

The video tutorial covers solving and graphing one-variable inequalities. It explains treating inequalities like equations, highlights the importance of flipping the inequality sign when multiplying or dividing by a negative number, and discusses common mistakes. Tips include replacing inequality symbols with equations and using test points for graphing. The tutorial emphasizes understanding inverse operations and the correct order of operations.

What is the key difference between solving equations and inequalities?

• You should only use addition and subtraction.

• You must always add a constant to both sides.

• You need to flip the inequality sign when multiplying or dividing by a negative number.

• You must solve inequalities in reverse order.

Which technique can help trigger your brain to solve inequalities like equations?

• Replacing the inequality symbol with an equation

• Using a calculator

• Memorizing the inequality rules

• Drawing a graph

Why is it helpful to circle the variable when solving inequalities?

• It helps identify the variable's coefficient.

• It makes the problem look more organized.

• It assists in identifying the inverse operations needed.

• It highlights the solution on the graph.

What should you do if you forget to flip the inequality sign when necessary?

• Correct the inequality sign and re-evaluate the solution.

• Re-solve the inequality from the beginning.

• Ignore the mistake and continue.

• Add a constant to both sides.

What is a common mistake when graphing solutions to inequalities?

• Not labeling the axes

• Graphing in the wrong direction

• Using the wrong test points

• Using a ruler to draw the graph