How to solve and graph one variable inequalities

The video tutorial explains how to solve and graph one-variable inequalities. It covers the step-by-step process of simplifying equations, identifying and isolating variables, and using inverse operations. The tutorial also highlights the importance of flipping the inequality sign when multiplying or dividing by a negative number. Additionally, it discusses graphing solutions on a number line, determining open or closed points, and shading the correct region to represent the solution set.

What is the first step in solving a multi-step one-variable inequality?

• Flip the inequality sign

• Graph the inequality

• Simplify the equation

• Identify the variable

When isolating the variable, what should you do if you multiply or divide by a negative number?

• Add the same number to both sides

• Subtract the same number from both sides

• Flip the inequality sign

• Keep the inequality sign the same

How do you determine if a point on a number line should be open or closed when graphing an inequality?

• By checking if the inequality includes 'equal to'

• By the color of the point

• By the size of the number

• By the position of the number on the line

What is the purpose of using test points when graphing inequalities?

• To find the midpoint of the line

• To decide the direction of shading

• To determine the slope of the line

• To calculate the exact solution

What does it mean if an inequality has infinite solutions?

• The inequality solutions form a range on the number line

• The inequality has a single solution

• The inequality has no solution

• The inequality is unsolvable