Question

Use substitution to determine which of the following values for x are in the solution set of the inequality: x - 19 > 30 a.x = 30 b.x = 20 c.x = 40 d.x = 50

Answer 1

To determine which values for x are in the solution set of the inequality x - 19 > 30, we can use substitution. By substituting each given value of x into the inequality and simplifying, we can determine which values satisfy the inequality.

Step-by-step explanation:

To determine which values for x are in the solution set of the inequality x - 19 > 30, we can use substitution. Substitution involves replacing the variable x with each value and checking if the inequality holds true.

1. a. x = 30: Substitute x = 30 into the inequality: 30 - 19 > 30. Simplify: 11 > 30. This is false, so x = 30 is not in the solution set.
2. b. x = 20: Substitute x = 20 into the inequality: 20 - 19 > 30. Simplify: 1 > 30. This is false, so x = 20 is not in the solution set.
3. c. x = 40: Substitute x = 40 into the inequality: 40 - 19 > 30. Simplify: 21 > 30. This is false, so x = 40 is not in the solution set.
4. d. x = 50: Substitute x = 50 into the inequality: 50 - 19 > 30. Simplify: 31 > 30. This is true, so x = 50 is in the solution set.

Therefore, the value for x that is in the solution set of the inequality is x = 50.