Answer:
The number of different possible values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.
Step-by-step explanation:
Given : For an integer n, the inequality has no real solutions in x.
To find : The number of different possible values of n ?
Solution :
The given inequality is have no solution then the discriminant must be less than zero.
i.e.
Here, a=1, b=n and c=15
i.e.
The integer values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.