The video tutorial explains how to solve and graph inequalities. It begins by highlighting the differences between solving equations and inequalities, particularly the need to reverse the inequality symbol when multiplying or dividing by a negative number. The instructor then demonstrates solving a specific inequality step-by-step, ensuring the variable is isolated on one side. Finally, the solution is graphed on a number line, showing how to determine the solution set and shade the appropriate region.

What is the key difference between solving equations and inequalities?

• Equations can only be solved graphically.

• Inequalities use different symbols and require flipping the symbol when multiplying or dividing by a negative number.

• Equations require more steps than inequalities.

• Inequalities always have more than one solution.

When solving the inequality, what operation requires you to change the direction of the inequality symbol?

• Multiplying by zero

• Adding a positive number

• Subtracting a positive number

• Multiplying or dividing by a negative number

What is the result of solving the inequality 7X = 19?

• X = 7/19

• X = 19/7

• X = 19

• X = 7

How do you determine which side of the number line to shade when graphing an inequality?

• Shade the side where the variable is greater than the number.

• Shade both sides of the number line.

• Do not shade any side.

• Shade the side where the variable is less than the number.

What is the approximate value of 19/7 when graphing on a number line?

• Exactly 3

• Exactly 2

• Between 1 and 2

• Between 2 and 3