0<2x-5<, X € W
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Answer:
Given inequation, 2x–5≤5x+4<11
So, we have
⇒2x−5≤5x+4 and 5x+4<11
⇒2x−5x≤4+5 and 5x<11−4
⇒−3x≤9 and 5x<7
⇒−x≤
3
9
and x<
5
7
⇒x≥−3 and x<
5
7
⇒−3≤x<
5
7
As x∈I
The solutions set is {−3,−2,−1,0,1}
Representing the solution on a number line:
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