Solving and graphing an inequality

The video tutorial guides students through solving inequalities by treating them as equations. It emphasizes the importance of the distributive property and demonstrates solving two-step equations. The tutorial also covers the necessity of flipping inequality signs when dividing by negative numbers. Finally, it explains how to graph inequalities and verify solutions using test points.

What is the first step in solving an inequality?

• Multiply by a negative number

• Add a constant to both sides

• Graph it immediately

• Treat it as an equation

What property is crucial when dealing with expressions inside parentheses?

• Commutative property

• Identity property

• Distributive property

• Associative property

When solving a two-step equation, what should you undo first?

• Multiplication

• Division

• Exponentiation

• Addition or subtraction

What must you remember to do when dividing by a negative number in an inequality?

• Add a positive number

• Flip the inequality sign

• Subtract a negative number

• Multiply by zero

How do you represent the solution set of an inequality on a number line?

• With a single point

• With a solid line

• With a dashed line

• With a shaded region