Understanding Inequalities

What is the most common way to write an inequality?

• With the inequality symbol flipped

• With the variable on the left side

• With the number on both sides

• With the variable on the right side

How can inequalities be represented visually?

• Using a pie chart

• On a number line

• Using a Venn diagram

• With a bar graph

What must you remember to do when flipping an inequality?

• Change the variable

• Add a constant

• Flip the inequality symbol

• Multiply by zero

In the example comparing Kyle and Devin, what does switching their names illustrate?

• The need to change comparison words

• The importance of order in sentences

• The concept of flipping inequalities

• The use of synonyms

What happens to the inequality symbol when you switch the order of an inequality?

• It is removed

• It becomes a different symbol

• It is flipped

• It stays the same

When solving x + 5 ≤ 8, what is the first step?

• Multiply both sides by 5

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 5

What is the solution to the inequality x + 5 ≤ 8?

• x < 3

• x = 3

• x ≥ 3

• x ≤ 3

How do flipped inequalities relate to their solutions?

• They represent the same solutions

• They are invalid

• They represent different solutions

• They have no solutions

What does the graphical representation of x ≤ 3 look like?

• A circle around 3

• A point at 3

• A line to the left of 3

• A line to the right of 3

What does the inequality 3 ≥ x represent?

• x is not equal to 3

• x is less than or equal to 3

• x is equal to 3

• x is greater than 3