If the solution set of X inequality ax + b > 0 is (1, infinity), then the solution set of X inequality (AX + b) (X-2) > 0

If the solution set of X inequality ax + b > 0 is (1, infinity), then the solution set of X inequality (AX + b) (X-2) > 0

The solution set is (1, infinity), that is, x > 1
ax>-b
The direction of the unequal sign remains unchanged
So a > 0,
x>-b/a
So - B / a = 1
(ax+b)(x-2)>0
The root of equation (AX + b) (X-2) = 0 is
x=-b/a=1,x=2
So the solution set of inequality is x > 2, X