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

Question

asked Jun 26, 2023 201k views

1 Answer

Mostafa Tourad · Answer 1 · 2023-07-01T02:57:47+0000

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

$2x-5\leq3-2x$

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

$2x+2x\leq3+5$

Now, we will solve the inequality for x.

$\begin{gathered} 4x\leq8 \\ x\leq2 \end{gathered}$

Hence, the solution of the considered inequation is

$x\leq2$