Hi there!
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I believe your answer is:
[tex]x \geq \frac{1}{2}[/tex]
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Here’s why:
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[tex]3x - 2 \geq x-1\\\rule{150}{0.5}\\\rightarrow 3x -2 + 2 \geq x - 1 + 2\\\\\rightarrow 3x \geq x + 1\\\\\rightarrow 3x -x \geq x - x + 1\\\\\rightarrow 2x \geq 1\\\\\rightarrow \frac{2x \geq 1}{2}\\\\\rightarrow \boxed{x \geq \frac{1}{2}}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
