Question

||x-2|-1|>= 3
find the value of x​

Answer 1

Given equation: ||x - 2| - 1| ≥ 3

Find that exactly at which value is the result equal to 3, since the numbers are being subtracted, see the pattern of results from keeping value of x as 2 to (-2). At x = -2, the result is 3. And before that, all the results are less than 3. Thus, for all values less than -2, the result will be greater than 3.

Keep x = -2

Result = 3

Since 3 = 3, x = -2

So, x € [-2, -infinity]