1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuri [45]
3 years ago
5

Solve with interval notation Solve: 5 | x − 2 | + 4 > 8

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

x<6/5, x>14/5

Step-by-step explanation:

Steps

$5\left|x-2\right|+4>8$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$

$5\left|x-2\right|+4-4>8-4$

$\mathrm{Simplify}$

$5\left|x-2\right|>4$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$

$\mathrm{Simplify}$

$\left|x-2\right|>\frac{4}{5}$

$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$

$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$

Show Steps

$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$

Show Steps

$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$

$\mathrm{Combine\:the\:intervals}$

$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$

You might be interested in
Number of assistant is categorical or numerical
abruzzese [7]
Numerical because its the number of assistants.
3 0
3 years ago
A store has apples on sale for $5.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $30.00
jeyben [28]
R $30.00. Since 1 pound = 16 ounces, so there are about apples in each pound. You can buy approximately apples for $3
<span>r $30.00? Complete the explanation. The cost per pound of the app</span>
8 0
3 years ago
2.The number of tickets sold to a play for each showing is 78, 84, 87, 80, 91, 95, and 80.
Luden [163]

Answer:

Min =78

The maximum is :

Max = 95

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

Median =84

Now we can find the quartile 1 we analyze the first 4 values  78, 80,80, 84 and the first quartile would be:

Q_1= \frac{80+80}{2}= 80

Now we can find the quartile 3 we analyze the last 4 values  84,87, 91, 95 and the third quartile would be:

Q_3= \frac{87+91}{2}=89

And finally the 5 number summary would be:

Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96

Step-by-step explanation:

We have the following data given:

78, 84, 87, 80, 91, 95, and 80.

The first step is order the dataset on increasing way and we got:

78, 80,80, 84,87, 91, 95

We can begin finding the minimum value and for this case is:

Min =78

The maximum is :

Max = 95

Now we can calculate the median since the sample size os n =7 the median would be the middle value at the position 4 from the dataset ordered and we got:

Median =84

Now we can find the quartile 1 we analyze the first 4 values  78, 80,80, 84 and the first quartile would be:

Q_1= \frac{80+80}{2}= 80

Now we can find the quartile 3 we analyze the last 4 values  84,87, 91, 95 and the third quartile would be:

Q_3= \frac{87+91}{2}=89

And finally the 5 number summary would be:

Min = 78, Q_1 = 80, Median=84, Q_3 = 89, Max=96

5 0
3 years ago
What is the perimeter of this triangle
DENIUS [597]

Answer:

they are all equal side so add them up

Step-by-step explanation:

3 0
3 years ago
Pleasseee helllp meeee​
Alja [10]

Answer:

The third one

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Lynn and Dawn tossed a coin 60 times and got heads 26 times. What is the experimental probability of tossing heads using Lynn an
    9·1 answer
  • A=2BD+2BC solve for B
    8·2 answers
  • Find the cost in cents of 1.7kg of potatoes at 70 #per kg
    15·1 answer
  • (I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs
    14·2 answers
  • Which expressions are less than 610
    11·1 answer
  • Write an equation in point slope form (4,2) m=7
    8·1 answer
  • Anyoneknowtheanswertothis?
    7·1 answer
  • Which values of m and b will create a system of equations with no solution? Check all that apply. y = mx + b y = –2x + 3/2
    14·2 answers
  • What is the approximate area, in square units, or circle C
    15·1 answer
  • Find the measure of angle x in the figure.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!