Solving Compound Inequalities: OR vs AND

What does the term 'compound inequality' refer to?

• An inequality with only one statement

• An inequality with no variables

• An inequality that cannot be solved

• An inequality with more than one statement separated by 'and' or 'or'

What does the 'and' in compound inequalities signify?

• Only one statement needs to be true

• Neither statement needs to be true

• Both statements need to be true simultaneously

• The statements are unrelated

What is the symbol for intersection in compound inequalities?

• ∪

• ∩

• ∅

• U

How do you solve the compound inequality -1 < 2x - 3 ≤ 7?

• Subtract 3 from all parts, then multiply by 2

• Add 3 to all parts, then multiply by 2

• Subtract 3 from all parts, then divide by 2

• Add 3 to all parts, then divide by 2

What does the 'or' in compound inequalities signify?

• Neither statement needs to be true

• Both statements need to be true simultaneously

• Only one statement needs to be true

• The statements are unrelated

What is the symbol for union in compound inequalities?

• U

• ∩

• ∪

• ∅

Which of the following is a solution to the inequality x < 5 or x ≥ 3?

• None of the above

• 0

• 6

• 2

What does it mean if a compound inequality has no solution?

• The inequality is invalid

• Only one condition needs to be true

• There are infinite solutions

• There are no numbers that satisfy both conditions simultaneously

What is the result of the compound inequality x < 4 and x > 6?

• All real numbers

• x > 6

• No solution

• x < 4

How do you represent all real numbers in a compound inequality?

• ∅

• R

• ∪

• ∩