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Write the solution set in interval notation and graph the inequality

{[tex]{x|2\ \textless \ X\leq 7[/tex]}


Sagot :

The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Given that a inequality y={x ; 2<x≤7} and asked to find the solution set for the given inequality and plot graph according to that

⇒ y={x ; 2<x≤7} i.e domain=(2,7].

⇒y=x ∀ x ∈ (2,7]

The solution of the given inequality is x ∈ (2,7].

Therefore,The solution set of the given inequality i.e.{x ; 2<x≤7} is (2,7].

Graph: image attached

y=x  ∀ x ∈ (2,7] is plotted {open at (2,0) and close at (7,0)}              

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