Understanding Inequalities and Graphing

The video tutorial explains how to solve inequalities by first treating them like equations. It highlights the key difference that when multiplying or dividing by a negative number, the inequality sign must be flipped. The tutorial demonstrates solving an inequality step-by-step and graphing the solution on a number line. It emphasizes testing points to verify solutions and concludes with a summary of the process.

What is the main goal of the tutorial?

• To solve a quadratic equation

• To solve and graph an inequality

• To learn about fractions

• To understand geometry

What is the inequality that needs to be solved?

• 1 - 3n - 2n >= 16

• 1 + 3n - 2n <= 16

• 1 - 3n + 2n > 16

• 1 - 3n + 2n <= 16

What is the first step in solving the inequality?

• Graphing the solution

• Checking the solution

• Pretending to solve an equation

• Finding the variable

What is the result of combining like terms in the inequality?

• 1 - 5n = 16

• 1 + 5n = 16

• 1 - 3n = 16

• 1 + 3n = 16

What property is used to subtract 1 from both sides of the equation?

• Addition property of equality

• Multiplication property of equality

• Subtraction property of equality

• Division property of equality

What is the value of n after solving the equation?

• n = -5

• n = 5

• n = -3

• n = 3

What is the result of dividing both sides by 5?

• n = 3

• n = -3

• n = 5

• n = -5

What must be done when dividing or multiplying by a negative number in an inequality?

• Keep the inequality sign the same

• Flip the inequality sign

• Add 1 to both sides

• Subtract 1 from both sides

What is the inequality solution after flipping the sign?

• n is greater than or equal to 3

• n is greater than or equal to -3

• n is less than or equal to 3

• n is less than or equal to -3

Why is it important to flip the inequality sign?

• To maintain equivalent inequalities

• To solve the equation faster

• To avoid negative numbers

• To simplify the equation