Final answer:
To solve the absolute value inequality 4x-6<14, isolate the absolute value expression and then solve for x. The solution is x is less than 5.
Step-by-step explanation:
To solve the absolute value inequality 4x-6<14, we need to isolate the absolute value expression first. Add 6 to both sides of the inequality to get 4x < 20. Then, divide both sides by 4 to find x < 5. Therefore, the solution to the inequality is x is less than 5.