Exploring Inequalities: Solving and Graphing Techniques

The video tutorial covers solving and graphing inequalities, similar to solving equations. It includes four examples: 15 + x < 20, x/10 ≤ 5, 12x ≥ 60, and x - 9 > 7. Each example demonstrates how to isolate the variable and graph the solution on a number line, explaining the use of open and closed circles and the direction of the inequality.

What should you have ready before starting to solve and graph inequalities?

• A calculator and a ruler

• A piece of paper and a pencil

• A textbook and a highlighter

• A computer and a mouse

What is the first step in solving the inequality 15 + x < 20?

• Add 20 to both sides

• Subtract 15 from both sides

• Multiply both sides by 15

• Divide both sides by 20

On a number line, how is the inequality x < 5 represented?

• Open circle on 5, shading to the right

• Closed circle on 5, shading to the left

• Open circle on 5, shading to the left

• Closed circle on 5, shading to the right

What operation is used to solve the inequality x / 10 ≤ 5?

• Addition

• Division

• Subtraction

• Multiplication

How is the inequality x ≤ 50 represented on a number line?

• Open circle on 50, shading to the right

• Closed circle on 50, shading to the right

• Closed circle on 50, shading to the left

• Open circle on 50, shading to the left

What is the first step in solving the inequality 12x ≥ 60?

• Multiply both sides by 12

• Divide both sides by 12

• Add 12 to both sides

• Subtract 12 from both sides

On a number line, how is the inequality x ≥ 5 represented?

• Closed circle on 5, shading to the left

• Closed circle on 5, shading to the right

• Open circle on 5, shading to the right

• Open circle on 5, shading to the left

What is the first step in solving the inequality x - 9 > 7?

• Subtract 9 from both sides

• Add 9 to both sides

• Multiply both sides by 9

• Divide both sides by 9

How is the inequality x > 16 represented on a number line?

• Open circle on 16, shading to the left

• Open circle on 16, shading to the right

• Closed circle on 16, shading to the left

• Closed circle on 16, shading to the right

What should you do after watching the video and taking notes?

• Discuss with a classmate

• Review the video again

• Submit your notes and answer the questions

• Take a break