The inequality representing the solution set with shading from point 5 to 8 is w ≥ 5, and the minimum value is 5. The value w=10 is not part of this solution set as it exceeds the maximum value shown on the shaded number line.
The inequality that describes the solution set on a number line with the region from point 5 to 8 shaded is w ≥ 5. This inequality means that w is greater than or equal to 5. The minimum value of the solution set, in this case, is 5 since it is the lowest number in the shaded region and the shading starts at this point, which means it is included in the solution set.
Regarding the value w=10, since the number line only ranges from 1 to 8 and the shaded part only goes from 5 to 8, w=10 is not part of the solution set. It lies outside the shaded region which represents the solution set. Therefore, w=10 does not satisfy the inequality w ≥ 5 with respect to the specified number line.