Q. What interval does this inequality represent?−5≤x<2Choices:(A)[−5,2](B)(−5,2](C)(−5,2)(D)[−5,2)
Identify Endpoints: Identify the endpoints of the interval for the inequality -5 \leq x < 2. The endpoints are −5 and 2.
Check Inclusion: Check whether the endpoints are included in the interval. For −5≤x, −5 is included because of the "less than or equal to" sign (≤). For x < 2, 2 is not included because of the "less than" sign (<).
Determine Interval: Determine the interval that the inequality -5 \leq x < 2 represents. Since −5 is included, we use a square bracket [ for −5. Since 2 is not included, we use a parenthesis ) for 2. The interval is [−5,2).