Writing and Graphing One Variable Inequalities

The video tutorial covers writing, solving, and graphing one-variable inequalities. It begins with a real-world example involving spending less than six dollars, demonstrating how to write and graph inequalities using symbols like less than, greater than, less than or equal to, and greater than or equal to. The tutorial explains the use of open and filled circles on graphs to represent inequalities and provides examples of solving inequalities using algebraic methods.

What does the variable 'M' represent in the inequality M < 6?

• The number of items Miss Simon bought

• The distance Miss Simon traveled

• The amount of money Miss Simon spent

• The number of hours Miss Simon worked

In the inequality M < 6, what does the symbol '<' signify?

• Greater than

• Less than

• Not equal to

• Equal to

How is the number 6 represented on the graph for the inequality M < 6?

• With a dashed line

• With a shaded area

• With an open circle

• With a filled circle

Which of the following is a possible value for M in the inequality M > 6?

• 5.99

• 6.00

• 6.01

• 5.50

What does the filled circle represent in the inequality M ≤ 6?

• M is less than 6

• M is not equal to 6

• M is greater than 6

• M is equal to 6

In the inequality M ≥ 6, which direction does the graph extend?

• To the left

• To the right

• Upwards

• Downwards

What is the first step in solving the inequality 5x - 3 < 17?

• Multiply both sides by 5

• Add 3 to both sides

• Divide both sides by 5

• Subtract 3 from both sides

After solving the inequality 5x - 3 < 17, what is the value of x?

• x < 3

• x < 4

• x < 5

• x < 6

What is the result of distributing 2 in the inequality 2(x + 4) ≥ 14?

• 2x + 4 ≥ 14

• 2x + 4 ≥ 18

• 2x + 8 ≥ 18

• 2x + 8 ≥ 14

What is the final solution for x in the inequality 2(x + 4) ≥ 14?

• x ≥ 4

• x ≥ 2

• x ≥ 5

• x ≥ 3