Solving and Interpreting Inequalities

The video tutorial introduces inequalities, explaining how they differ from equations and how to graph them on a number line. It covers solving simple and complex inequalities, including special cases involving negative numbers and multiple variables. The tutorial emphasizes understanding the range of solutions and the importance of flipping the inequality sign when multiplying or dividing by a negative number. The session concludes with a summary and a preview of more advanced topics.

What does the inequality X > 3 mean?

• X is exactly 3

• X is equal to 3

• X is less than 3

• X is greater than 3

How do you represent X > 3 on a number line?

• Closed circle at 3, shade left

• Closed circle at 3, shade right

• Open circle at 3, shade left

• Open circle at 3, shade right

What does the inequality X ≥ 2 mean?

• X is exactly 2

• X is less than 2

• X is greater than or equal to 2

• X is not equal to 2

How do you represent X ≥ 2 on a number line?

• Closed circle at 2, shade right

• Open circle at 2, shade right

• Open circle at 2, shade left

• Closed circle at 2, shade left

What does the inequality X < 1 mean?

• X is equal to 1

• X is not equal to 1

• X is less than 1

• X is greater than 1

How do you represent X < 1 on a number line?

• Closed circle at 1, shade left

• Open circle at 1, shade right

• Closed circle at 1, shade right

• Open circle at 1, shade left

What does the inequality X ≤ -2 mean?

• X is less than or equal to -2

• X is greater than -2

• X is equal to -2

• X is not equal to -2

How do you represent X ≤ -2 on a number line?

• Open circle at -2, shade right

• Closed circle at -2, shade right

• Closed circle at -2, shade left

• Open circle at -2, shade left

What is the main difference between an inequality and an equation?

• Both have one solution

• Inequalities have one solution, equations have many

• Both have a range of solutions

• Equations have one solution, inequalities have a range

How do you solve the inequality x - 7 > -5?

• Multiply both sides by 7

• Add 7 to both sides

• Divide both sides by 7

• Subtract 7 from both sides