Q. What interval does this inequality represent?x≤6Choices:(A)(−∞,6)(B)(−∞,6](C)[6,∞)(D)(6,∞)
Identify Endpoints: Identify the endpoints of the interval for the inequality x≤6. The endpoints are −∞ and 6.
Check Inclusion: Check whether the finite endpoint is included or not. In the inequality x≤6, 6 is included in the interval because the inequality is less than or equal to.
Determine Interval: Determine the interval that the inequality x≤6 represents. Since −∞ cannot be included as it is not a finite value and 6 is included, the interval is (−∞,6].