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:
16>2.3b
Step-by-step explanation:
1.5+0.8=2.3
Substitute b as 1. Which would still keep it as 2.3.
The answer is A because it is quartile 1 of 4. There are 4 quartiles so logially 1 out of 4 is 25%. Hope this helps!
Answer: The required ratio would be 3 miles : 4 minutes.
Step-by-step explanation:
Since we have given that
Speed of a cheetah = 45 miles per hour
So, it means
Distance = 45 miles
Time = 1 hour = 60 minutes
So, the ratio of the distance it travels to the time it takes would be
Distance : Time
Hence, the required ratio would be 3 miles : 4 minutes.
