Question

Solve the polynomial inequality.

(x – 16)4 > 0

Answer 1

Interpret (x − 16)4 as (x − 16)^4. Since any real number raised to the 4th power is ≥ 0 and equals 0 only when x − 16 = 0, the inequality (x − 16)^4 > 0 holds for all real x except x = 16.

Solution: x ∈ (−∞, 16) ∪ (16, ∞) (equivalently x ≠ 16).