When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.
In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

or, in interval notation,
![(-\infty,-2]\cup (1,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C-2%5D%5Ccup%20%281%2C%5Cinfty%29)
In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.
This means that the difference between your numbers at 1 must be at most 4, which is modelled by

where the absolute values guarantees that you'll pick numbers to the left and to the right of 1.
Answer:
The answer is 4.2 kilograms of dog food
Step-by-step explanation:
it says that ray feeds his dog 0.12 kilogram of food each day
he needs for 1 month
1 month = 31 days or 30 days
since 1 day food is 0.12 kilograms you'll have to multiply 0.12 with 1 month
i.e; 0.12*31 or 0.12*30
0.12*31=3.72 and 0.12*30=3.6
since we don't have an option we'll have to choose something bigger than this
therefore, the answer is 4.2
Answer:
556, 558, and 560
Step-by-step explanation:
1674/3 = 558 (An even number, yay)
So 558 + 558 + 558 = 1674
Subtract two from the first one and add two to the last (still equal)
556 + 558 + 560
adding them equals 1674 so the answer is
556, 558, and 560
The circumference of the circle is = 2 x pi x 6 = 37.7cm
To find the arc = 360 divided by 169 = 2.13
The arc = 37.7 divided by 2.13 = 17.69 cm