Solve |2x - 6| > 10

Sure, I can help you solve the inequality |2x - 6| > 10 step by step.

Step 1: Split the inequality into two separate inequalities: 2x - 6 > 10 and -(2x - 6) > 10

Step 2: Solve the first inequality: 2x - 6 > 10 Add 6 to both sides: 2x > 16 Divide both sides by 2: x > 8

Step 3: Solve the second inequality: -(2x - 6) > 10 Distribute the negative sign: -2x + 6 > 10 Subtract 6 from both sides: -2x > 4 Divide both sides by -2 (remember to flip the inequality sign when dividing by a negative number): x < -2

Step 4: Combine the solutions: The solution to the inequality |2x - 6| > 10 is x < -2 or x > 8.