Question

for what value of n would 1.5×n be greater than n2​

Answer 1

Given :   1.5×n  greater than n²

To Find : Value of n

Solution:

 1.5×n  greater than n²

1.5n > n²

=> 1.5n  -  n²   > 0

=>    n ( 1.5 - n)  > 0  

Either both + ve or both - ve

if  n is - ve  then  1.5 - n is always + ve

Hence   n must be greater than 0

n > 0

case 2  n is + ve

=>  1.5 - n > 0

=> n < 1.5

0 < n < 1.5

0 < n < 1.5  1.5×n be greater than n²

n ∈ (0 , 1.5 )

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