Solve \(-4x~>~12\). Which complete response is correct?
A. Divide by \(-4\) and reverse the inequality
B. Divide by \(-4\) without reversing the inequality
C. Divide by \(4\)
G1. Open at \(-3\), shaded left
G2. Open at \(-3\), shaded right
G3. Closed at \(-3\), shaded left
What this problem is really about
Isolating x requires dividing by its full coefficient, negative four, and reversing the inequality at that exact step. Preserve the strict comparison, so the boundary remains excluded. After computing the boundary, use the solved direction to determine which side of it works and match both that ray direction and the open endpoint to the graph descriptions.