Respuesta :
Answer:
A number minus the product of
4
and its reciprocal is less than zero. Find the numbers which satisfy this condition.
AAny number less than
−
2
or between
0
and
2
BAny number between
−
2
and
2
CAny number less than
2
DAny number between
0
and
2
Solution
Let the number be x
Then
x
−
(
4
×
1
x
)
≤
0
⇒
x
≤
4
x
⇒
x
2
≤
4
⇒
|
x
|
≤
2
⇒
−
2
≤
x
≤
2
Step-by-step explanation:
The numbers which satisfy this condition is less than 1. it will be 0, - 1, -2, 0, -3, -4, -5, -6, -7..................
let
the number = x
The reciprocal of 36 = 1 / 36
Therefore, a number minus the product of 36 and it's reciprocal can be express below
- x - 36 × 1 / 36
Then when it is less than zero, it can be express as follows
- x - 36 × 1 / 36 < 0
- x - 1 < 0
The number(x) which satisfy this condition (x - 1 < 0) is less than 1. This means the numbers are 0 to negative infinity.
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