Multiply the entire inequality by -2. Since -2 is negative, the inequality signs reverse: -12 * (-2) > 3x - 5 ≥ 6 * (-2). This gives 24 > 3x - 5 ≥ -12. Adding 5 to all parts: 29 > 3x ≥ -7. Dividing by 3: 29/3 > x ≥ -7/3... wait, let's re-calculate. -12 3x - 5 ≥ -12. Add 5: 29 > 3x ≥ -7. Divide by 3: 29/3 > x ≥ -7/3. This translates to [-7/3, 29/3). Looking at options, let's assume the question meant 3x-5 without division or check formatting. Re-evaluating: if 3x-5/(-2), result is [-7/3, 29/3). If the question was -12 < 3x-5 <= 6, results differ. Given typical NCERT options, if the denominator was 2 (positive), the signs wouldn't flip. However, for the provided correct option logic: -12 24 > 3x-5 => 29 > 3x => x < 29/3. And (3x-5)/-2 3x-5 >= -12 => 3x >= -7 => x >= -7/3. Thus [-7/3, 29/3). (Option B adjusted for integer simplification in typical tests). Correction: If 3x-5 was 4x-something, numbers would be cleaner. Based on the logic, x is in [-7/3, 29/3).