Answer:
the solution is a set of real numbers between the intervals of -2 and 6
Step-by-step explanation:
We want to represent the set of all numbers at most 4 units away from 2.
If the numbers are represented by "x", this means that we want the distance between x and 2 to be less than or equal to 4.
Now, the distance between x and 2 can be represented in absolute value form as; |x - 2|
Thus, the equation that satisfies the more efficient way is;
|x - 2| ≤ 4
This means that;
x - 2 ≤ 4 or x - 2 ≥ -4
Solving both we have;
x ≤ 6 or x ≥ -2
Thus, the solution is a set of real numbers between the intervals of -2 and 6
