Exploring One-Variable Inequalities and Graphing Techniques

The video tutorial introduces the concept of inequalities, explaining how to write and graph them using number lines. It covers real-life examples to illustrate the use of inequalities and discusses how to determine solutions. The tutorial emphasizes the importance of evaluating potential solutions and provides a homework assignment to reinforce learning.

What symbol is used to represent that $50 is not included in the amount on a number line?

• Closed circle

• Open circle

• Square

• Triangle

If you have no more than 15 video games, which inequality symbol should be used?

• >

• <

• ≤

• ≥

What does the phrase 'more than 100 pieces of candy' translate to in inequality terms?

• c < 100

• c ≥ 100

• c ≤ 100

• c > 100

What does 'at least $20' mean in terms of inequality?

• x ≤ 20

• x ≥ 20

• x < 20

• x > 20

How would you write 'x is less than or equal to 30' in words?

• x is more than 30

• x is less than 30

• x is at least 30

• x is at most 30

Which of the following is a solution to the inequality 2 + 7 > 10?

• 5

• 9

• 7

• 12

What does it mean if an inequality has an infinite number of solutions?

• It has no solutions

• It has a limited number of solutions

• It has solutions in both positive and negative directions

• It has only positive solutions

Is 0 a solution to the inequality -3 * 0 < 9?

• No

• Only if 0 is positive

• Only if 0 is negative

• Yes

Which of the following values is a solution to the inequality -3 * 5 < 9?

• 9

• 0

• 15

• -15

What should you do to determine if a value is a solution to an inequality?

• Use a calculator

• Ask a friend

• Evaluate the inequality with the value

• Guess the value