Q. What interval does this inequality represent?4≤x<8Choices:(A) [4,8)(B) [4,8](C) (4,8](D) (4,8)
Identify Endpoints: Identify the endpoints of the interval for the inequality 4 \leq x < 8. The endpoints are 4 and 8.
Check Inclusion: Check whether the endpoints are included or not. In the inequality 4 \leq x < 8, 4 is included (as indicated by the "less than or equal to" symbol ≤), but 8 is not included (as indicated by the "less than" symbol <).
Determine Interval: Determine the interval that the inequality 4 \leq x < 8 represents. Since 4 is included, we use a square bracket [ for 4. Since 8 is not included, we use a parenthesis ) for 8. The interval is therefore [4,8).