All absolute value expressions are greater than or equal to zero. It follows then that no absolute value expression can be less than or equal to a negative number. First, let's isolate the absolute value expression. Remember that if we multiply or divide an inequality by a negative number, we have to reverse the inequality symbol.
Thus, we can state the following.
|y-3|≥ 0 ⇒ |y-3| ≰ - 1/2
This means there is no value of y that will satisfy the inequality, so there is no solution.
