Solve the inequality: 4x + 7 > 55.
Note
Subtract the constant from both sides to get 4x > 48. Because 4 is positive, dividing by 4 keeps the inequality direction unchanged. So the solution is x > 12. Solve an inequality much like an equation: isolate x step by step. Since the division here is by a positive number, the inequality sign stays in the same direction. The final answer represents a range of values, not just one value. The correct answer is x > 12, which matches the calculation or reasoning shown.
