\[
3-2 x \leq-9
\]
Express the solution in set notation. The solution set is $\{x \mid$ Express the solution in interval notation. The solution set is
Answer
Final Answer: The solution set in set notation is \(\boxed{\{x \mid x \geq 6\}}\) and in interval notation is \(\boxed{[6, \infty)}\).
Step 1 ：The given inequality is \(3-2x \leq -9\).
Step 2 ：Subtract 3 from both sides of the inequality to get \(-2x \leq -12\).
Step 3 ：Divide both sides of the inequality by -2 to get \(x \geq 6\). Remember that the inequality sign changes direction when dividing by a negative number.
Step 4 ：Express the solution in set notation: \(\{x \mid x \geq 6\}\).
Step 5 ：Express the solution in interval notation: \([6, \infty)\).
Step 6 ：Final Answer: The solution set in set notation is \(\boxed{\{x \mid x \geq 6\}}\) and in interval notation is \(\boxed{[6, \infty)}\).
