Exploring Special Cases in Compound Inequalities

What does an 'or' statement in inequalities represent?

• Only the left side

• No solution

• Everything being graphed

• Only the overlapping part

In an 'and' statement, what part of the graph represents the solution?

• The leftmost part

• The intersection part

• The non-overlapping parts

• The entire number line

What is the solution for the inequality X > 2 or X ≥ 3?

• X < 2

• X ≥ 3

• X > 2

• X ≤ 3

What happens when two inequalities in an 'and' statement do not overlap?

• There is no solution

• The solution is the leftmost part

• The solution is all real numbers

• The solution is the entire number line

How do you graph the inequality X < -2 or X > 3?

• Shade between -2 and 3

• Shade to the left of -2 and to the right of 3

• Shade only at 3

• Shade only at -2

What must you remember when dividing both sides of an inequality by a negative number?

• The inequality becomes an 'or' statement

• The numbers switch places

• The inequality sign flips

• The inequality sign stays the same

What is the solution for the inequality -10 < X < 5?

• X > 5 and X < -10

• X < -10 and X > 5

• X > -10 and X < 5

• X < 5 and X > -10

How do you handle inequalities when distributing a negative number?

• The numbers switch places

• The inequality sign flips

• The inequality sign stays the same

• The inequality becomes an 'or' statement

What is the solution for the inequality X > 3 and X < 2?

• No solution

• X > 3

• X < 2

• All real numbers

When solving compound inequalities, what should you do if you encounter fractions?

• Ignore the fractions

• Convert to decimals

• Treat each side separately

• Combine the fractions