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: (m-3)(5m-2)
Step-by-step explanation:
5m^2-17m+6 factored is (m-3)(5m-2).
Let w won games, t tied games, s lose games
s=4w
t=w-5
s+t+w=43
4w+(w-5)+w=43
6w=48
w=7
s=4*7=21 games lost
Answer:
5.32
Step-by-step explanation:
You would have to subtract 6.73-1.41.
