Question

Solve -3 < 2x + 3 < 5

Answer 1

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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