Question

Which values are in the solution set of the inequality?
(-2/3)x+13>_-1
19
20 21 22 23

Answer 1

To find the values that are in the solution set of the inequality, let's solve the inequality:

(-2/3)x + 13 > -1

First, subtract 13 from both sides:

(-2/3)x > -14

Next, multiply both sides by -3/2 to get rid of the fraction and reverse the inequality sign since we are multiplying by a negative number:

x < (-14)(-3/2)

Simplifying:

x < 21

Therefore, the solution set of the inequality is x < 21.

Out of the given values, only 19 and 20 are less than 21, so they are in the solution set. 21, 22, and 23 are not in the solution set.