Question

Take your time but please answer quick.

What is the smallest positive integer that can be multiplied by 9.97 to get a product greater than 100? In other words, what is the smallest number possible for x:


9.97x > 100


I am confused.

Answer 1

x> 1000/997
Alternate form is
x> 10 30/997, 1000/997 = 10.03009 , x {10000/997 , + infinity}

Answer 2

11

Explanation:

Given the expression

9.97x > 100

We are to determine the smallest possible integer that can be multiplied by 9.97 to get a product greater than 100.

Divide both sides by 9.97

`(9.97x)/(9.97)>(100)/(9.97)`

x>10.03

Since x is greater than 10, the nearest integer greater than 10 is 11.

There the number is 11.