The eight graders' goal is more than the teachers' goal.
The teachers' goal is less than the eight graders' goal.
Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.
The sample space will be: {1, 2, 3, 4, 5, 6}
Event A is: {Rolling 1,2 or 3}
Complement of event A will contain all those outcomes in the sample space which are not a part of event A.
So, complement of event A will be: {Rolling a 4,5 or 6}
Thus option A gives the correct answer