Solve this problem. Reduce to lowest terms.
1 answer:
You might be interested in
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
Answer:
- True
- True
- False
- True
Step-by-step explanation:
- Subtracting the equation will get rid of y variable therefore it's a correct and logical first step to solve the system
- The solution is indeed (-3, -3) as if we substitute these values in both equation, the equation will be correct and valid.
(Correct)
(Correct)
- We have already determined the logical first step. Multiply by -2 will not get rid of any of the variables. Therefore, this is false.
- The solution can be written as one value since x = y = -3. Therefore, this statement is true.