Find the solution: -1 < 2/3x + 1 ≤ 5 , x belongs to I.
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Answer:
{−3,−2,−1}
Step-by-step explanation:
Given inequation, x−3(2+x)>2(3x−1)
⇒x−6−3x>6x−2
⇒−2x−6>6x−2
⇒−6x−2x>−2+6
⇒−8x>4
⇒8x<−4[On multiplying by −1, the inequality sign reverses]
⇒x<−
8
4
⇒x<−
2
1
But, x∈{–3,–2,–1,0,1,2,3}
Hence, the solution set is {−3,−2,−1}
hope this helps
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