waec model questions vol1 2023 mathematics

Objective Question 16

Question 16 WAEC_MODEL_QUESTIONS_VOL1 • 2023
For all real numbers x, the inequality |x - 2| + |x - k| \ge 5 holds. Determine all real values of k that satisfy this condition.
Answer Options
A. k \le -2 \text{ or } k \ge 6
B. k \le -3 \text{ and } k \ge 7
Correct Answer C. k \le -3 \text{ or } k \ge 7
D. k < -3 \text{ or } k > 7
Correct Answer
C

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