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
Morning Sparta — let's get this done. Step 1: Distribute the -(1)/(3) into the parenthesis. (1)/(2)x - (1)/(3)(x+4) > 0 (1)/(2)x - (1)/(3)x - (4)/(3) > 0 Step 2: Combine the x terms by finding a common denominator. The common denominator for 2 and 3 is 6. (3)/(6)x - (2)/(6)x - (4)/(3) > 0 (1)/(6)x - (4)/(3) > 0 Step 3: Add (4)/(3) to both sides of the inequality. (1)/(6)x > (4)/(3) Step 4: Multiply both sides by 6 to solve for x. x > (4)/(3) × 6 x > (24)/(3) x > 8 The solution is: x > 8 Send me the next one 📸