Which values are in the solution set of the inequality?
(-2/3)x+13>_-1
The given inequality is (-2/3)x + 13 > -1.
To solve this inequality, we need to isolate x on one side of the inequality sign.
Subtract 13 from both sides:
(-2/3)x > -1 - 13
(-2/3)x > -14
To get rid of the fraction (-2/3), we can multiply both sides by -3/2 (this is allowed because we are multiplying both sides by a positive number and we do not need to flip the inequality sign because we are not dividing by a negative number).
(-3/2)(-2/3)x > (-3/2)(-14)
x > 21
Thus, the solution set of the inequality (-2/3)x + 13 > -1 is x > 21.