Solve the equation with the replacement set {–34, –2, 2, 34}|16 – x| = 18–2, 2–2, 342–34
Accepted Solution
A:
Solve for x over the integers: abs(16 - x) = 18 Split the equation into two possible cases: 16 - x = 18 or 16 - x = -18 Subtract 16 from both sides: -x = 2 or 16 - x = -18 Multiply both sides by -1: x = -2 or 16 - x = -18 Subtract 16 from both sides: x = -2 or -x = -34 Multiply both sides by -1: Answer: x = -2 or x = 34