Which values are in the solution set of the inequality
-2/3x+13≥-1
To solve the inequality -2/3x + 13 ≥ -1, we can begin by subtracting 13 from both sides:
-2/3x ≥ -14
Next, we will divide both sides by -2/3. Remember that when we divide by a negative number, the inequality sign flips:
(1/(-2/3)) * (-2/3x) ≤ (-14) * (1/(-2/3))
Simplifying, we have:
(3/2) * (-2/3x) ≤ 21
Multiplying through, we get:
-1x ≤ 21
This can also be written as:
-x ≤ 21
To isolate x, we can multiply both sides by -1. However, since we are multiplying by a negative number, the inequality sign will flip again:
x ≥ -21
Therefore, the solution set for the inequality -2/3x + 13 ≥ -1 is x ≥ -21.