Q. What inequality represents this interval?(−8,∞)Choices:(A) x<−8(B) x≥−8(C) x≤−8(D) x>−8
Identify Endpoints: Identify the endpoints of the interval and whether they are included in the interval. The interval (−8,∞) has −8 as the lower endpoint and ∞ as the upper endpoint. The parentheses indicate that −8 is not included in the interval, and ∞ is never included because it is not a finite number.
Determine Inequality: Determine the inequality that corresponds to the interval. Since −8 is not included, the inequality must use a "greater than" symbol. The interval extends to positive infinity, which means all numbers greater than −8 are included.
Match Correct Inequality: Match the correct inequality with the interval. The interval (−8,∞) corresponds to the inequality x > -8, because it includes all numbers greater than −8 but not −8 itself.