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To solve the inequality −23x + 13 ≥ −1, we can subtract 13 from both sides to isolate the variable:
−23x + 13 - 13 ≥ −1 - 13
−23x ≥ -14
Next, we divide both sides by -23. Since we are dividing by a negative number, we need to reverse the inequality symbol:
−23x / -23 ≤ -14 / -23
x ≤ 14/23
So, any values of x that are less than or equal to 14/23 will be in the solution set of the inequality. Therefore, the values 19, 21, 20, 23, and 22 are not in the solution set.