To determine the values that are in the solution set of the inequality, we can solve the inequality for x.
−23x + 13 ≥ −1
To isolate x, we can subtract 13 from both sides of the inequality:
−23x ≥ −1 - 13
−23x ≥ -14
Finally, we can divide both sides of the inequality by -23. Remember that when we divide or multiply an inequality by a negative number, the direction of the inequality sign must be reversed:
x ≤ -14 / -23
x ≤ 14/23
The solution set of the inequality is all the values of x that are less than or equal to 14/23.
Therefore, the values in the solution set are 19, 20, 21, 22, and 23.
Answer choices 19, 20, 21, 22, and 23 are all correct.
Which values are in the solution set of the inequality −23x + 13 ≥ −1 ?
Select all that apply.
(3 points)
Responses
19
19
20
20
21
21
22
22
23
1 answer