Answer:To solve the inequality \ (ax + 13 \ge -1\), we need to isolate \ (x\) by subtracting \ (13\) from both sides and then dividing by \ (a\). This gives us:
\ (ax + 13 - 13 \ge -1 - 13\)
\ (ax \ge -14\)
\ (x \ge -\frac {14} {a}\)
The solution set depends on the value of \ (a\). If \ (a\) is positive, then the solution set is all the values of \ (x\) that are greater than or equal to \ (-\frac {14} {a}\). If \ (a\) is negative, then the solution set is all the values of \ (x\) that are less than or equal to \ (-\frac {14} {a}\). If \ (a\) is zero, then the inequality has no solution, because we cannot divide by zero.
For example, if \ (a = 2\), then the solution set is \ (x \ge -7\), which includes 19, 20, 21, 22, and 23. If \ (a = -2\), then the solution set is \ (x \le 7\), which includes none of the given options. If \ (a = 0\), then there is no solution.
Therefore, without knowing the value of \ (a\), we cannot determine which values are in the solution set of the inequality. We can only say that some of them might be, depending on the sign of \ (a\).
Explanation: