Graphing an inequality when you have to switch the sign

The video tutorial explains how to solve inequalities by graphing, focusing on the importance of isolating the variable and understanding the properties of inequalities. It highlights the need to flip the inequality sign when dividing or multiplying by a negative number. The tutorial uses examples to demonstrate these concepts and shows how to graph the solution using test points.

What is the first step in solving an inequality by graphing?

• Add a constant to both sides

• Multiply both sides by a constant

• Isolate the variable

• Graph the inequality directly

When solving inequalities, what must you do when dividing by a negative number?

• Subtract a negative number from both sides

• Add a positive number to both sides

• Flip the inequality sign

• Keep the inequality sign the same

Why is it necessary to flip the inequality sign when multiplying or dividing by a negative number?

• To maintain the truth of the inequality

• To make the numbers positive

• To eliminate the variable

• To simplify the equation

What does an open circle on a graph of an inequality represent?

• The inequality is true at that point

• The point is not included in the solution

• The point is included in the solution

• The inequality is false at that point

How do you determine the direction of shading on a graph of an inequality?

• Shade towards the false test points

• Do not shade at all

• Shade both sides equally

• Shade towards the true test points