Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the basics of inequality symbols, including less than, greater than, and equal to. It explains how to graph inequalities using open and closed circles on a number line. The tutorial also teaches how to translate verbal statements into inequalities and determine if a number is a solution. Finally, it covers solving inequalities, emphasizing the importance of flipping the inequality symbol when multiplying or dividing by a negative number.

What symbol represents a value that is less than or equal to another?

• <=

• >

• <

• >=

How is an inequality that includes 'less than' graphically represented?

• With a dotted line

• With a closed circle

• With an arrow pointing left

• With an open circle

What does a closed circle on a graph indicate?

• The inequality is only 'greater than'

• The number is not included in the solution

• The number is included in the solution

• The graph represents an equation, not an inequality

If 'n is less than 8', how is this represented on a graph?

• Open circle on 8, arrow to the left

• Open circle on 8, arrow to the right

• Closed circle on 8, arrow to the right

• Closed circle on 8, arrow to the left

If 'x is at least 6', how is this inequality represented?

• x >= 6

• x > 6

• x < 6

• x <= 6

What is the correct graph representation for 'a number is no more than -3'?

• Open circle on -3, arrow to the left

• Closed circle on -3, arrow to the left

• Open circle on -3, arrow to the right

• Closed circle on -3, arrow to the right

When solving inequalities, what must you do if you multiply or divide by a negative number?

• Subtract 1 from both sides

• Flip the inequality symbol

• Add 1 to both sides

• Do nothing different

How do you graph 'K is less than 14' on a number line?

• Closed circle on 14, arrow to the right

• Open circle on 14, arrow to the left

• Closed circle on 14, arrow to the left

• Open circle on 14, arrow to the right

What does a number line with a closed circle on -15 and an arrow pointing right represent?

• A is less than or equal to -15

• A is greater than -15

• A is less than -15

• A is greater than or equal to -15

If 'E' is divided by -5 and is less than 5, what is the correct inequality?

• E > 25

• E < -25

• E < 25

• E > -25