Final answer:
The true inequality when the value of k is -19 is k ≤ -19, indicating that k is less than or equal to -19.
Step-by-step explanation:
The question asks which inequality is true when the value of k is -19. To solve this, you simply compare the value of k with -19 according to each inequality option provided. Since k is exactly -19, the inequalities k < -19 (k is less than -19) and k > -19 (k is greater than -19) are not true.
However, the statements k ≤ -19 (k is less than or equal to -19) and k ≥ -19 (k is greater than or equal to -19) could both be true in general. But because k is exactly -19, it cannot be less than -19, which eliminates k < -19 as a correct option. Therefore, the true inequality in this scenario is C. k ≤ -19, indicating that k is less than or equal to -19.