Answer:
3 the rest of his classmate
No!
43 doesn't divide by anything.
Answer: 2. 55/8
Step-by-step explanation: Add the whole numbers first (5+1 = 6), then add the fractions (4/8 + 3/8 = 7/8). Now we have 6 7/8 and since they want the answer in fraction form we will multiply the 6 and the 8 (6x8=48) and then add the 7 to the 48 (7+48 =55) and we leave our answer over the denominator which is 8. This leaves us with the final answer of 55/8
Given:
The inequality is:
![y](https://tex.z-dn.net/?f=y%3C%5Csqrt%7Bx%2B3%7D%2B1)
To find:
The domain and range of the given inequality.
Solution:
We have,
![y](https://tex.z-dn.net/?f=y%3C%5Csqrt%7Bx%2B3%7D%2B1)
The related equation is:
![y=\sqrt{x+3}+1](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%2B3%7D%2B1)
This equation is defined if:
![x+3\geq 0](https://tex.z-dn.net/?f=x%2B3%5Cgeq%200)
![x\geq -3](https://tex.z-dn.net/?f=x%5Cgeq%20-3)
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
![\sqrt{x+3}\geq 0](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%5Cgeq%200)
![\sqrt{x+3}+1\geq 0+1](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%2B1%5Cgeq%200%2B1)
![y\geq 1](https://tex.z-dn.net/?f=y%5Cgeq%201)
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
So, the domain of the given inequality is y>1.
Therefore, the correct option is A.
Not addition, since
![-1+1=0](https://tex.z-dn.net/?f=-1%2B1%3D0)
and 0 doesn't belong to the set.
Not subtraction, since
![1-1=0](https://tex.z-dn.net/?f=1-1%3D0)
.
It is closed under multiplication. The set appears to contain all non-zero multiples of 3.
Not division, since dividing some of the numbers results in rationals which do not belong to the set.
What other operations are you supposed to consider?