Final answer:
To select the value of ⌈−.8⌉, we need to round -0.8 up to the nearest whole number. The nearest whole number greater than -0.8 is -1. Therefore, the value of ⌈−.8⌉ is option A. -1.
Step-by-step explanation:
To determine the value of ⌈−0.8⌉, we engage in the process of rounding up to the nearest whole number. In this case, -0.8 is less than zero, and to reach the nearest whole number, we move in the direction of negative infinity. Consequently, ⌈−0.8⌉ equals -1, as the next integer below zero is -1. The ceiling function, denoted by ⌈⌉, always yields the smallest integer greater than or equal to the given number.
Thus, for -0.8, rounding up leads to -1. In summary, the value of ⌈−0.8⌉ is A. -1, reflecting the result of rounding up to the nearest whole number in the negative direction.