Final answer:
To find the number set that satisfies the given condition, we can set up an equation based on the information given. Let's assume the number is x. According to the problem, when 20 is added to the number, the absolute value of the result is 6. So we can write the equation as |x + 20| = 6. By solving the equation, we find that the number set that satisfies the condition is {-26, -14}.
Step-by-step explanation:
To find the number set that satisfies the given condition, we can set up an equation based on the information given. Let's assume the number is x. According to the problem, when 20 is added to the number, the absolute value of the result is 6.
So we can write the equation as |x + 20| = 6. In order to solve this equation, we need to consider two cases: when x + 20 is positive and when x + 20 is negative.
Case 1: (x + 20) is positive: x + 20 = 6. Solving for x, we get x = -14.
Case 2: (x + 20) is negative: -(x + 20) = 6. Simplifying, we get x = -26.
Therefore, the number set that satisfies the given condition is {-26, -14}.