Answer:
x is in the range [-1,4]
Step-by-step explanation:
I haven't worked with absolute value inequalities in awhile, but let's take a wack at this.
We are given the following inequality:
| 2x - 3 | <= 5
This implies two possible cases:
[1] -5 <= 2x -3
Or
[2] 2x - 3 <= 5
So let's solve x for both of these cases:
[1] -5 <= 2x - 3
-2 <= 2x
-1 <= x
[2] 2x - 3 <= 5
2x <= 8
x <= 4
So from these cases, we can say the following is true:
x >= -1 and x <= 4
Thus, we can write this in the form
-1 <= x <= 4
Or in interval notation:
{ x is element of reals | -1 <= x <= 4}
Also written as
x is in the range [-1,4]
Where the closed brackets represent 1 and 4 as possible answers whereas parenthesis would imply they were not.
Cheers.
Answer:
To know if the equation is true, you need to write it down on a piece of paper and see if you get the results.
Step-by-step explanation:
By definition, the volume of a sphere is:
Where,
r: sphere radio
Substituting values we have:
Rounding the result to the nearest tenth:
Answer: the sphere's volume is: 
The reasonable answer is D makes since
Answer:
12.5 or 25/2!
Step-by-step explanation:
Multiply the first two as improper fractions then divide it by 2/3!
