Answer :
[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.
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