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
Here's a check of your solutions: A) 3x^2 + 6 12 - 2x^2 ❌ Incorrect. Your first step of collecting like terms is correct: 3x^2 + 2x^2 12 - 6 5x^2 6 However, you incorrectly simplified 5x^2 to 5x. This is a quadratic inequality, not a linear one. The correct solution involves taking the square root of both sides, remembering both positive and negative roots: x^2 (6)/(5) x -sqrt((6)/(5)) or x sqrt((6)/(5)) Which simplifies to x -sqrt(30)5 or x sqrt(30)5. B) 4x - 2 < 2 ✅ Correct. Your steps are accurate: 4x < 2 + 2 4x < 4 x < 1 C) 2x - 5 < 5 ✅ Correct. Your steps are accurate: 2x < 5 + 5 2x < 10 x < 5