| 4x - 2 |, let's recall that once we remove the bars from the absolute value expression, whatever value is inside must be positive, so |-15| = 15, |-1,000,000| = 1,000,000 and so on.
so, regardless of what value "x" itself maybe, say a negative or positive number, once we remove the bars from | 4x - 2 |, it'll be positivized.
now, any positive number, is to the right of the 0 on the number line and by definition greater than any negative number, to the left of the 0 on the number line.
so one can say then
| 4x - 2 | ⩾ -1
| 4x - 2 | ⩾ -2
| 4x - 2 | ⩾ -3
| 4x - 2 | ⩾ -6
| 4x - 2 | ⩾ -1000000
| 4x - 2 | ⩾ 0
and so on.
