Answer:
(a)
if
then
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Step-by-step explanation:
Remember how we define the absolute value of a number.
(a)
In general

Therefore if
you have two cases, if
then
and if x<0 then 
(b)
That is straightforward from what you showed on theorem 3.25
(c)
Following the same ideas from (a) x>a or -x > a.
Answer:
2..........................
Answer:
see below
Step-by-step explanation:
We know that x > 2 that means the line at x = 2 is dotted since there is no equals sign
We shade to the right since x is greater
Answer:
1,440 bottles will be packed in an hour
Step-by-step explanation:
Firstly, we need to calculate the Amount of Distance the conveyor belt will move in an hour.
Now the speed with which it moves is 2 feet per seconds. We calculate the number of seconds in a hour= 60 * 60 = 3600 seconds. The total distance is thus 3,600 * 2 = 7,200 ft
Now, to calculate the number of bottles to be packed in an hour, we simply divide the total distance covered by the distance between the bottles = 7,200/5 = 1,440 bottles