Answer:
Answer: (-1,4)
SOLUTION:
xϵR:
x+1
14x
−
x−4
9x−30
<0
x+1
=0 x−4
=0
⇒x
=−1 x
=4
14(x−4)−(x+1)(7x−30)<0
14x
2
−56x−(9x
2
−30x+9x−30)<0
14x
2
−56x−9x
2
+30x−9x+30<0
5x
2
−35x+30<0
x
2
−7x+6<0
x
2
−6x+6<0
x(x−6)−1(x−6)<0
(x−1)(x−6)<0
⇒x>1 & x<6
⇒xϵ;(1,4)∪(4,6)
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