Question

The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to ___.
Responses
A 1
B -1

Answer 1

To solve the inequality \(-4(x - 3) \leq 16\), we can follow these steps:

1. Distribute \(-4\) on the left side:
\[
-4x + 12 \leq 16
\]

2. Subtract \(12\) from both sides:
\[
-4x \leq 4
\]

3. Divide both sides by \(-4\). Remember to flip the inequality sign when dividing by a negative number:
\[
x \geq -1
\]

Thus, the solution to the inequality is that \(x\) is greater than or equal to \(-1\).

Therefore, the answer is:
**B -1**