List the solution set of the inequation 1/2+8x>5x-3/2,x€z
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Answer:
Given inequation,
2
1
+8x>5x−
2
3
⇒8x−5x>−
2
3
−
2
1
⇒3x>−
2
4
⇒x>−
3
2
As x∈Z
The solution set is {0,1,2,3,4,5,…}
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