Answer :

luana
[tex][tex]x-\ number\\\\ -3*x+4 \leq x-8\ \ \ \ \ | add \ 8\\\\ -3x+12 \leq x\ \ \ \ |add\ 3x\\\\ 12 \leq 4x\ \ \ \| divide\ by\ 4\\\\x \geq \frac{12}{4}\\\\x \geq 3[/tex]

The simplified form of the given inequality is x≥3.

The given inequality is -3x+4≤x-8.

What is inequality?

In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Now, -3x+4≤x-8

⇒-3x-x≤-8-4

⇒-4x≤-12

⇒x≥3

The simplified form of the given inequality is x≥3.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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