Problem

\[ 3-2 x \leq-9 \] Express the solution in set notation. The solution set is $\{x \mid$ Express the solution in interval notation. The solution set is

Solution

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 \(\boxed{[6, \infty)}\).

From Solvely APP
Source: https://solvelyapp.com/problems/19136/

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