Which values are in the solution set of the inequality −2/3x + 13 ≥ −1 ?
Select all that apply.
(3 points)
Responses
19
20
21
22
23
To solve the inequality, we can start by subtracting 13 from both sides:
-2/3x + 13 - 13 ≥ -1 - 13
This simplifies to:
-2/3x ≥ -14
Next, we can multiply both sides by -3/2 to isolate the variable x. When we multiply an inequality by a negative number, we need to flip the inequality sign:
-3/2 * (-2/3x) ≤ -3/2 * (-14)
This simplifies to:
x ≤ 21
Therefore, the values in the solution set of the inequality are 19, 20, 21.