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 are the solutions for the given equations. a) (i) Find the number of roots of the equation 3|x| - |2 - |x|| = 1. Step 1: Substitute y = |x|. Since y = |x|, we know that y 0. The equation becomes: 3y - |2 - y| = 1 Step 2: Solve for y by considering cases for the absolute value |2 - y|. Case 1: 2 - y 0 y 2. In this case, |2 - y| = 2 - y. 3y - (2 - y) = 1