All absolute value expressions are greater than or equal to zero. It follows then that any absolute value expression is greater than all negativenumbers.
|2g+3/2| ≥ 0 ⇒ |2g+3/2| >- 7
This means any value of g will satisfy the inequality. Therefore, there are infinitely many solutions, and the solution set is the set of all real numbers.
We can represent this graphically on a number line by showing that all values are included in the solution set, so all values are shaded.
