Answer:
Step-by-step explanation:
1. Based on the information given in the problem, you can draw the right triangle shown in the figure attached.
2. Keeping the informationn given in the problem, you can calculate the angle that the sum makes with the ground ()as you can see below:
Where:
3. Then:
we are given
f(x)=[x=1]
where bracket means ceiling functions
we know that
Ceiling function returns the least value of the integer that is greater than or equal to the specified number
so, we can check each options
option-A:
At x=-4:
f(x)=[-4-1] =-5
For x<-3:
Let's assume
x=-3.1
f(x)=[-3.1-1] =[-4.1]=-5
so, this interval is TRUE
option-B:
At x=-2:
f(x)=[-2-1] =-3
For x<-1:
Let's assume
x=-1.1
f(x)=[-1.1-1] =[-2.1]=-3
so, this is FALSE