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:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²
Answer:
Let's replace the h(x) function in g(x) and then use 74 as a result on the axis y. The correct answer is 4 .
Answer:
667.38
Step-by-step explanation:
28,000 loan amount
4 years
6.76%
Answer:
2
Step-by-step explanation:
2X5=10
10-8=2
