Write down the inequality.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Write down the inequality.
$$5 - 3x \ge 17$$
Step 2: Subtract 5 from both sides of the inequality.
$$5 - 3x - 5 \ge 17 - 5$$
$$-3x \ge 12$$
Step 3: Divide both sides by -3. Remember to reverse the inequality sign when dividing or multiplying by a negative number.
$$\frac{-3x}{-3} \le \frac{12}{-3}$$
$$x \le -4$$
Step 4: Compare the result with the given options.
The solution $x \le -4$ matches option (B).
The final answer is $\boxed{\text{B}}$.
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