solve x-1/4x+5<x-3/4x-3
Answers
Answered by
8
x- 1/4x + 5 < x- 3/4x -3
Rearranging constants and variables to either sides :
-3/4x + 1/4x > 5 + 3
-2/4x > 8
-1/2x > 8
Multiplying both sides by -1; inequality changes
1/2x < -8
x < -16
Answered by
3
The inequality is
4x+5
x−1
<
4x−3
x−3
⇒
(4x+5)(4x−3)
(x−1)(4x−3)−(x−3)(4x+5)
<0
⇒
(4x+5)(4x−3)
18
<0
⇒(4x+5)(4x−3)<0
∴x=(−
4
5
,
4
3
)
Hence, option C is correct.
Similar questions