The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
Inequality:
When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.
Here the given Inequality is -3<2x+3≤5
⇒ -3<2x+3≤5
⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }
⇒-6 < 2x ≤ 2
⇒-3 < x ≤ 1
⇒-3 < x and x ≤ 1
⇒ x > -3 and x ≤1
Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
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