How to solve a one variable inequality and graph using two steps

The video tutorial explains how to solve and graph inequalities. It begins with setting up the problem, followed by applying inverse operations to solve the inequality. The tutorial emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number. It then covers graphing the solution, including determining whether the point is open or closed and how to shade the graph. The video concludes with tips on testing solutions and ensuring the graph is accurate.

What must you remember to do when multiplying or dividing both sides of an inequality by a negative number?

• Flip the inequality sign

• Add the same number to both sides

• Subtract the same number from both sides

• Keep the inequality sign the same

When graphing the solution of an inequality, how do you determine if the point should be open or closed?

• By the size of the number

• By checking if the inequality is strict or not

• By the position of the variable

• By the value of the variable

Which of the following is a method to test if a number is part of the solution set of an inequality?

• Check if the number is positive

• Plug the number into the inequality

• Ensure the number is even

• Verify the number is a whole number

What is a key consideration when determining the shading direction on a graph of an inequality?

• The inequality must be an equation

• The graph must start at zero

• The variable must be on the left side

• The inequality symbol must be on the right

Which method can help you decide where to shade on a graph of an inequality?

• Using a calculator

• Checking the color of the graph

• Drawing a straight line

• Saying the inequality out loud