All absolute value expressions are greater than or equal to zero. It follows then that any absolute value expression is greater than all negative numbers.
|- 2c-3|≥ 0 ⇒ |- 2c-3|>- 4
This means any value of c will satisfy the inequality. Therefore, there are infinitely many solutions, and the solution set is the set of allreal 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.
