Q. What inequality represents this interval?[−10,∞)Choices:(A) x<−10(B) x≥−10(C) x≤−10(D) x>−10
Identify Endpoints and Inclusion: Identify the endpoints of the interval and whether they are included in the interval. The interval is [−10,∞), which means −10 is included (as indicated by the square bracket) and ∞ is not included (as indicated by the parenthesis).
Determine Corresponding Inequality: Determine the inequality that corresponds to the interval. Since −10 is included, the inequality must allow for x to be equal to −10. Additionally, since the interval extends to infinity, x can take any value greater than −10.
Match Inequality with Interval: Match the correct inequality with the interval. The inequality must include −10 and all numbers greater than −10. The only inequality that does this is x≥−10.