Question

If square of number alpha is less than twice the number alpha , then alpha belongs to
(A) (0, 1)
(B) [0, 1]
(C)[-1.0]
[D) (0,2)​

Answer 1

Alpha is written as a.

Answer:

D

Step-by-step explanation:

According to question -

= > square of a is less than twice of alpha

=> a² is less than 2*a

=> a² < 2a

=> a² - 2a < 0

= > a( a - 2 ) < 0

= > a < 0 a - 2 > 0 OR a > 0 a - 2 < 0

= > a < 0 a > 2 OR a > 0 a < 2

Result - a belongs to ( 0, 2 )