Solving One, Two, and Multi-Step Inequalities

The video tutorial covers solving one, two, and multi-step inequalities, highlighting the differences between solving inequalities and equations, primarily focusing on the inequality signs. It explains three notations: interval, algebraic, and set, and their applications. The tutorial also provides a guide on graphing inequalities using parentheses and brackets, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number. The video includes detailed examples to illustrate these concepts, ensuring a comprehensive understanding of solving inequalities.

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

• The type of numbers used

• The operations allowed

• The inequality sign

• The variables involved

Which of the following is NOT a type of inequality sign?

• Greater than

• Equal to

• Less than or equal to

• Greater than or equal to

What does interval notation resemble when glanced at?

• A fraction

• An ordered pair

• A matrix

• A polynomial

In algebraic notation, how would you represent 'x is greater than or equal to -8'?

• x > -8

• x ≥ -8

• x = -8

• x < -8

When should you use parentheses in interval notation?

• For closed circles

• For less than or equal to signs

• For greater than or equal to signs

• For infinity or negative infinity

What must you do if you multiply or divide both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Subtract the same number from both sides

• Add the same number to both sides

• Flip the inequality sign

If the variable cancels out and you are left with a true statement, what is the solution?

• No solution

• Only positive numbers

• Only negative numbers

• All real numbers

What should you do if the variable is on the right side of the inequality after solving?

• Flip the entire problem over

• Leave it as it is

• Subtract a constant from both sides

• Add a constant to both sides

In the example 'p is greater than or equal to -4', which notation uses a bracket around -4?

• Algebraic notation

• Set notation

• Interval notation

• Graphical notation

When graphing 'x is greater than 0.7', what type of circle is used on the number line?

• Closed circle

• Open circle

• No circle

• Half-filled circle