Solving a two step inequality and graphing

The video tutorial explains how to solve a two-step inequality by treating it like an equation. It covers rewriting the inequality as an equation, isolating the variable, and solving for it. The tutorial also discusses checking the solution and graphing it on a number line, emphasizing the importance of understanding the inequality signs and their implications on the graph.

What is the first step in solving a two-step inequality?

• Rewrite the inequality as an equation

• Add a constant to both sides

• Graph the inequality on a number line

• Multiply both sides by a negative number

How do you isolate the variable in the inequality 5 + n/2 = 8?

• Multiply both sides by 2

• Add 5 to both sides

• Divide both sides by 2

• Subtract 5 from both sides

What operation should be performed to undo division by 2 in the inequality n/2 = 3?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

When graphing the solution of an inequality, what does an open dot represent?

• The number is not included in the solution

• The number is included in the solution

• The inequality is less than or equal to

• The inequality is greater than or equal to

Why is it important to check if you multiplied or divided by a negative number when solving inequalities?

• To determine if the inequality sign should be flipped

• To simplify the inequality

• To ensure the variable is isolated

• To verify the solution is correct