Two or more inequalities joined together by the words and or or describe a ...

• A. Compound Inequality
• B. Double Inequality
• C. Absolute Inequality
• D. Conditional Inequality

Answer: (A)

When two or more inequalities are joined together by and or or, you’re dealing with a compound inequality. That phrasing matches exactly because “and” means both conditions must be true at the same time, while “or” means at least one of the conditions is true. So you combine the solution sets accordingly: with and you take the intersection (numbers that satisfy both), and with or you take the union (numbers that satisfy either). For example, x > 1 and x < 5 describes all x between 1 and 5, while x > 1 or x < -2 covers numbers greater than 1 or less than -2.

A double inequality is usually a chained form like 1 < x < 5, which is closely related but presented as a single statement rather than two separate inequalities linked by and or or. An absolute inequality involves expressions with absolute value, such as |x| < 3, and a conditional inequality expresses a conditional statement like if x > 0, then x^2 > 0, which is about implication rather than combining two inequalities.