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
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
Answer: 296 is 74% of 400.
Answer:
$900
Step-by-step explanation:
18 x 50 = 900
69.25 i belive for taxes
Answer:
17 people
Step-by-step explanation:
8 people are in line a family with a wife and husband and 3 children cut in line then 4 more people cut in line then the family with 3 children cut in line in front again how many people are there?
8 (the begining) + 5 (wife husband & 3 children) + 4 ( the four more people)= 17 (donʻt add the family w/ 3 children again because they were already in line.)
Answer:
1st function: all negative real numbers
2nd function: all real numbers
3rd function: all real numbers except -3 ≤ x ≤ 3
4th function: all real numbers between -3 and 3
Step-by-step explanation:
In the picture attached, the question is shown.
The domain is the set of all the numbers that the independent variable (here, x) can assume.