Understanding Inequalities and Graphing

This video tutorial covers the basics of writing and graphing inequalities. It begins with an introduction to inequalities and the symbols used to represent them. The tutorial then explains how to write inequalities using words and symbols, followed by a section on checking if a number is a solution to an inequality. Finally, it provides instructions on how to graph inequalities on a number line, including the use of open and closed dots to represent solutions.

Which of the following symbols is used to represent 'greater than or equal to'?

• <

• >

• ≥

• ≤

How would you write the inequality for 'a number Q plus 5 is greater than or equal to -7.9'?

• Q + 5 < -7.9

• Q + 5 ≤ -7.9

• Q + 5 > -7.9

• Q + 5 ≥ -7.9

If T is less than or equal to 5, which of the following is true?

• T = 5

• T ≥ 5

• T ≤ 5

• T > 5

What is the result when you substitute -2 for Y in the inequality Y - 5 ≥ -6?

• None of the above

• Cannot be determined

• False

• True

Which of the following is NOT a solution for the inequality X + 12 > 7 when X = -5?

• False

• X = 5

• X = 0

• True

What does an open dot on a number line indicate in graphing inequalities?

• The number is included

• The inequality is true

• The number is not included

• The inequality is false

In graphing, what does a closed dot signify?

• The number is a solution

• The number is not a solution

• The inequality is false

• The inequality is true

If X is greater than 3, which direction should the arrow point on the number line?

• Down

• Up

• Right

• Left

For the inequality D ≤ 2.5, which of the following numbers is a solution?

• 3

• 2.5

• 2.6

• 2.7

When dealing with negative numbers, what must you remember about inequalities?

• They always point to the right

• They always point to the left

• You must think backwards

• They are always false