\begin{tabular}{l} Solve for $$ x: $$ \ $$ -3 x+6 \leq 2 x+1 $$ \ \hline\end{tabular}

Question

UpStudy AI · Accepted Answer

1. Start with the inequality:
   $$
   -3x + 6 \leq 2x + 1
   $$

2. Add $$3x$$ to both sides to gather the $$x$$-terms on the right:
   $$
   6 \leq 5x + 1
   $$

3. Subtract $$1$$ from both sides to isolate the term with $$x$$:
   $$
   5 \leq 5x
   $$

4. Divide both sides by $$5$$ (note that $$5$$ is positive, so the inequality direction remains unchanged):
   $$
   1 \leq x
   $$

5. Rewrite the inequality in standard form:
   $$
   x \geq 1
   $$
$$ x \geq 1 $$

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