What is the solution of the inequality $-3 < 2x+1 < 5$

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I am very poor in the mathematics and its been decade for me, when I did that in my schooling. Can anyone give solution step by step and possible question of inequality with different patterns? What is the category/type of this equation?

Thank you in advance.

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2 Answers

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Subtracting $1$ from each side gives $$-4<2x<4$$ Dividing by $2$ from each side gives $$-2<x<2$$ which is equal to $$|x|<2$$

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In this type of questions you have to find value of variable in this case variable is $x$ using mathematical operations.

In this case to find value of $x$

Step 1 -

Subtract 1.

Step 2 -

Divide by 2.

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