The question is asking base on the said problem, to calculate the total length of the path to the nearest meter and base on my further calculation and computation and further understanding, I would say that the answer would be 55 meters. I hope you are satisfied with my answer and feel free to ask for more
Answer:
And find it all urself
Step-by-step explanation:
Answer:
The solution to the inequality
in interval notation is given by
.
Step-by-step explanation:
An absolute value inequality
is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 4
The given absolute value inequality is
.
Add on both 4 sides,
![$$\begin{aligned}&2|v-7|-4 \geq 42 \\&2|v-7|-4+4 \geq 42+4 \\&2|v-7| \geq 46\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%262%7Cv-7%7C-4%20%5Cgeq%2042%20%5C%5C%262%7Cv-7%7C-4%2B4%20%5Cgeq%2042%2B4%20%5C%5C%262%7Cv-7%7C%20%5Cgeq%2046%5Cend%7Baligned%7D%24%24)
Step 2 of 4
Divide by 2 on both sides,
![$$\begin{aligned}&\frac{2|v-7|}{2} \geq \frac{46}{2} \\&|v-7| \geq 23\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%5Cfrac%7B2%7Cv-7%7C%7D%7B2%7D%20%5Cgeq%20%5Cfrac%7B46%7D%7B2%7D%20%5C%5C%26%7Cv-7%7C%20%5Cgeq%2023%5Cend%7Baligned%7D%24%24)
The inequality can be written as
and ![$v-7 \geq-23$](https://tex.z-dn.net/?f=%24v-7%20%5Cgeq-23%24)
Step 3 of 4
First solve the inequality,
.
Add 7 on both sides,
![$$\begin{aligned}&v-7 \leq 23 \\&v-7+7 \leq 23+7 \\&v \leq 30\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26v-7%20%5Cleq%2023%20%5C%5C%26v-7%2B7%20%5Cleq%2023%2B7%20%5C%5C%26v%20%5Cleq%2030%5Cend%7Baligned%7D%24%24)
Step 4 of 4
Solve the inequality
.
Add 7 on both sides,
![$$\begin{aligned}&v-7 \geq-23 \\&v-7+7 \geq-23+7 \\&v \geq-16\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26v-7%20%5Cgeq-23%20%5C%5C%26v-7%2B7%20%5Cgeq-23%2B7%20%5C%5C%26v%20%5Cgeq-16%5Cend%7Baligned%7D%24%24)
The solution of the inequality in interval notation is given by
.
Answer:
It is ................................................................. 1
Step-by-step explanation: