Q. What inequality represents this interval?(−∞,0)Choices:(A) x<0(B) x>0(C) x≥0(D) x≤0
Identify Endpoints: Identify the endpoints of the interval −∞,0. The endpoints are −∞ and 0.
Determine Inclusion: Determine whether the finite endpoint 0 is included in the interval. Since the interval is open at 0 (indicated by the parenthesis), 0 is not included in the interval.
Choose Correct Inequality: Choose the correct inequality that represents the interval. Since the interval extends from negative infinity up to, but not including, 0, the inequality must express that x is less than 0.
Match with Choices: Match the correct inequality with the given choices. The inequality that represents the interval (−∞,0) is x < 0, which corresponds to choice (A).