Solving and Graphing Inequalities

The video tutorial introduces inequalities, explaining the use of inequality signs such as less than, greater than, and their equal counterparts. It demonstrates solving one-step inequalities using inverse operations like addition, subtraction, multiplication, and division. The tutorial provides examples, including solving and graphing inequalities like X + 5 ≥ 6, X + 5 ≤ 8, and 4X ≥ 24, emphasizing the importance of isolating the variable and using filled circles on number lines for graphing.

Which of the following is an example of an inequality?

• 3 + 2 = 5

• 4 < 7

• 8 - 2 = 6

• 5 * 3 = 15

Which inequality sign represents 'less than or equal to'?

• <

• >

• ≤

• ≥

What is the inverse operation of addition when solving inequalities?

• Subtraction

• Division

• Multiplication

• Addition

What is the first step in solving one-step inequalities?

• Subtract the same number from both sides

• Perform the inverse operation

• Graph the inequality

• Add the same number to both sides

In the inequality X + 5 > 6, what should be done to isolate X?

• Divide both sides by 5

• Multiply both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

What is the result of solving the inequality X + 5 > 6?

• X > 1

• X < 1

• X ≥ 1

• X ≤ 1

What does a filled circle on a number line represent when graphing inequalities?

• Not equal to

• Greater than

• Less than

• Equal to

How do you represent 'greater than or equal to' on a number line?

• Open circle

• Arrow pointing right

• Filled circle

• Arrow pointing left

In the inequality X + 5 ≤ 8, what is the first step to solve it?

• Add 5 to both sides

• Divide both sides by 5

• Subtract 5 from both sides

• Multiply both sides by 5

In the inequality X + 5 ≤ 8, what is the solution for X?

• X > 3

• X < 3

• X ≤ 3

• X ≥ 3