Set the radicand in
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
Answer
Find out the how many boxes of paper can the forklift move at one time .
To proof
Let us assume that the number of boxes be x.
As given
A forklift can carry up to 2500 pounds.
You want to move boxes of paper which each weigh 140 pounds.
The paper boxes are supported on one pallet which weighs 50 pounds.
Than the equation is become in the form
140x +50 ≥ 2500
140x ≥ 2500 - 50
140x ≥ 2450

x ≥ 17.5
Therefore the 18 boxes of paper can the forklift move at one time .
Hence proved
9 4/5 as a decimal is 9.8