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Stels [109]
1 year ago
10

For the following exercises, solve each inequality and write the solution in interval notation.

Mathematics
1 answer:
Pie1 year ago
7 0

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$.

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$.

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$$

Solve the inequality $x-4 \leq-8$.

$$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$.

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$.

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Answer:

It will take 6 hours to complete the biking path.

5 0
2 years ago
A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt
inysia [295]

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = 1485\times\dfrac{10}{55}=270

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

7 0
3 years ago
Simplify. Answer in simplest radical form
notka56 [123]
That would be
12 \sqrt{ - 5 }
8 0
2 years ago
What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?
ivann1987 [24]

Answer:

It's -3 mate

Step-by-step explanation:

I just did the test

8 0
2 years ago
(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and
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I believe the correct mean is 21!
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