(−∞,−4)∪(1,+∞).
Finding the roots of the given equation as shown below:
x
2
+3x−4>0
x
2
+4x−x−4>0
x(x+4)−1(x+4)>0
(x+4)(x−1)>0
Case-1:- Case-2:-
x−1>0 and x+4>0 x−1<0 and x+4<0
x>1 and x>−4 x<1 and x<−4
from above two we get above two we get
x>1 …(1) x<−4 …(2)
From (1) and (2)
x lies between (−∞,−4)∪(1,+∞).
Learn more about the inequality at
https://brainly.com/question/11613554
#SPJ2
