Solving and Graphing Inequalities in Algebra 2

What is the result of multiplying both sides of the inequality 6 > 2 by 2?

• 6 > 4

• 12 < 4

• 12 > 4

• 6 < 4

Which operation requires you to flip the inequality symbol?

• Subtracting a positive number

• Multiplying by a negative number

• Dividing by a positive number

• Adding a positive number

What does the symbol '≠' represent in inequalities?

• Not equal to

• Less than

• Greater than

• Equal to

In set notation, what does the symbol '∈' represent?

• Greater than

• Less than

• Element of

• Not equal to

How do you write the set of all x such that x is greater than 6 in set notation?

• {x | x > 6}

• {x | x < 6}

• {x | x = 6}

• {x | x ≠ 6}

What is the first step in solving the inequality 3 > 2x + 5?

• Subtract 3x from both sides

• Divide by 2

• Add 5 to both sides

• Subtract 5 from both sides

When graphing the inequality x < -1, what type of circle is used?

• No circle

• Shaded circle

• Open circle

• Closed circle

In the inequality 3y/4 ≥ -3, what is the next step after subtracting 6 from both sides?

• Multiply by 4

• Add 3 to both sides

• Subtract 3 from both sides

• Divide by 4

What is the solution to the inequality y ≥ -4?

• y < -4

• y > -4

• y ≤ -4

• y ≥ -4

What should you do if you multiply or divide both sides of an inequality by a negative number?

• Keep the inequality symbol the same

• Flip the inequality symbol

• Subtract the same number from both sides

• Add the same number to both sides