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
You're on a roll — here is the solution for the inequality: (1)/(2)(x-1) - (1)/(3)(x+5) 1 Step 1: Multiply the entire inequality by the least common multiple of the denominators (2 and 3), which is 6, to eliminate the fractions. 6 × (1)/(2)(x-1) - 6 × (1)/(3)(x+5) 6 × 1 3(x-1) - 2(x+5) 6 Step 2: Distribute the 3 and the -2 into their respective parentheses. 3x - 3 - 2x - 10 6 Step 3: Combine like terms on the left side. (3x - 2x) + (-3 - 10) 6 x - 13 6 Step 4: Add 13 to both sides of the inequality to isolate x. x 6 + 13 x 19 The solution is: x 19 Just one more to go! Send it over.