Solving One-Variable Inequalities

The video tutorial covers solving inequalities in one variable. It begins with an introduction to inequality symbols and their meanings, followed by instructions on how to graph inequalities using open and filled circles. The tutorial then demonstrates solving inequalities through examples, including both simple and multi-step problems. Key concepts such as flipping inequality signs when multiplying or dividing by negative numbers are highlighted. The video concludes with a summary of the steps involved in solving and graphing inequalities.

What symbol is used to represent a value that is not included in the inequality range?

• Triangle

• Square

• Open circle

• Filled circle

If an inequality includes the 'or equal to' part, how is it represented on a graph?

• With an open circle

• With a filled circle

• With a double line

• With a dashed line

What does an open circle on a graph typically indicate?

• The solution is infinite

• The solution is undefined

• The number is not included in the solution

• The number is included in the solution

How do you solve the inequality 'x + 3 ≤ 10'?

• x ≥ 13

• x ≤ 7

• x ≥ 7

• x ≤ 13

What is the correct graph representation for 'x > 3'?

• Open circle at 3, shading to the left

• Filled circle at 3, shading to the left

• Open circle at 3, shading to the right

• Filled circle at 3, shading to the right

When dividing by a negative number in an inequality, what must you do to the inequality sign?

• Keep the sign as is

• Double the sign

• Flip the sign

• Remove the sign

What is the result of solving the inequality '5x < 10'?

• x < 5

• x < 2

• x > 2

• x > 5

In a multi-step inequality, which operations are typically addressed first?

• Parentheses

• Exponents

• Multiplication and division

• Addition and subtraction

How is the inequality '4t + 9 > 21' solved for t?

• t < 12

• t > 12

• t > 3

• t < 3

What is the correct way to graph the inequality 'a ≥ -4'?

• Filled circle on -4, shading to the left

• Open circle on -4, shading to the left

• Filled circle on -4, shading to the right

• Open circle on -4, shading to the right