Solving Absolute Value Inequalities Challenge

What is the absolute value of a number always?

• Positive or zero

• Positive or negative

• Zero

• Negative

How many solutions are there when the absolute value of something equals zero?

• Two

• None

• One

• Three

What is the solution when the absolute value of something is greater than zero?

• No solution

• All real numbers

• Only positive numbers

• Only negative numbers

What is the solution when the absolute value of something is less than zero?

• Only negative numbers

• No solution

• Only positive numbers

• All real numbers

When solving the inequality |x + 2| > 5, what must you remember to do in the second case?

• Multiply by -1

• Flip the inequality

• Subtract 2

• Add 5

In the inequality |x + 2| ≤ 5, what is the keyword when the solutions overlap?

• If

• Or

• And

• Not

What is the keyword when the absolute value of something is greater than a positive number?

• Or

• And

• If

• Not

What is the solution for the inequality |x + 2| < 2?

• x < 0 and x > -4

• x > 0 and x < 4

• x < 2 and x > -2

• x > -2 and x < 2

What happens when you divide both sides of an inequality by a negative number?

• The inequality sign flips

• The inequality sign becomes an equal sign

• The inequality sign is removed

• The inequality sign stays the same

What is the solution for the inequality |x + 2| > -6?

• Only negative numbers

• No solution

• All real numbers

• Only positive numbers