Example Question - Values of c

Absolute Value Equation Solution

The given equation is an absolute value equation. Recall that if |x| = a, then x can either be a or -a. Let's apply this property to find all values of c. We have |c - 20| = 45. This leads to two possible cases: 1. c - 20 = 45 2. c - 20 = -45 Solving both cases: For case 1: c - 20 = 45 c = 45 + 20 c = 65 For case 2: c - 20 = -45 c = -45 + 20 c = -25 Thus, the two solutions for c are c = 65 and c = -25.