Q. What inequality represents this interval?[5,∞)Choices:(A) x≤5(B) x≥5(C) x>5(D) x<5
Identify Endpoints: Identify the endpoints of the interval [5,∞). The endpoints are 5 and ∞.
Check Inclusion: Check whether the finite endpoint is included or not. In the interval [5,∞), 5 is included because of the square bracket [ which indicates that the endpoint is part of the interval.
Determine Inequality: Determine the inequality that the interval [5,∞) represents. Since 5 is included and the interval extends to infinity, the inequality must allow for x to be equal to 5 and all values greater than 5.
Match with Interval: Match the correct inequality with the interval. The interval [5,∞) corresponds to the inequality x≥5, which includes 5 and all numbers greater than 5.