What is the solution set of the rational iniquality 3/2– x < 1/ x+4
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Given inequation, 3x/5–(2x–1)/3>1
(9x–10x+5)/15>1 [Taking L.C.M]
−x+5>15
−x>15–5
−x>10
x<−10
As x∈R
Hence, the solution set is x:x∈R,x<−10
Representing the solution on a number line:
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