“If |x-3| > 10 which could be the absolute value of x?”

"The inequality |x-3| > 10 implies x < -7 or x > 13 as it represents values of x whose distance from 3 is greater than 10. Solving we get x-3 < -10 or x-3 > 10 yielding the solution set. The absolute value of x |x| depends on x’s magnitude. For x = -15 (within x < -7) |x| = 15; for x = 14 (within x > 13) |x| = 14. Among options 8 fits as a possible |x| for certain x values aligning with the inequality’s solution."