Subtract 4 from all parts of 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: Subtract 4 from all parts of the inequality.
$$ -11 - 4 \le 4 - 3x - 4 \le 28 - 4 $$
$$ -15 \le -3x \le 24 $$
Step 2: Divide all parts of the inequality by -3. Remember to reverse the inequality signs when dividing by a negative number.
$$ \frac{-15}{-3} \ge \frac{-3x}{-3} \ge \frac{24}{-3} $$
$$ 5 \ge x \ge -8 $$
Step 3: Rewrite the inequality in standard form, with the smallest number on the left.
$$ -8 \le x \le 5 $$
Comparing this result with the given options:
A. $-5 \le x \le 8$
B. $5 \le x \le 8$
C. $-8 \le x \le 5$
D. $-5 < x \le 8$
The correct option is C.
The final answer is $\boxed{\text{C. -8 \le x \le 5}}$.
That's 2 down. 3 left today — send the next one.
