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explain to me a clear, detailed explanation of all necessary processes about Inequalities with variables on both sides

Sagot :

Let us consider an inequality with variable in the both sides of the inequality.

[tex]2x-5\leq3-2x[/tex]

Now, first, we will take all the terms with variable in one side of the inequality and the constant terms in the other side.

It follows

[tex]2x+2x\leq3+5[/tex]

Now, we will solve the inequality for x.

[tex]\begin{gathered} 4x\leq8 \\ x\leq2 \end{gathered}[/tex]

Hence, the solution of the considered inequation is

[tex]x\leq2[/tex]

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