## Intermediate Algebra (6th Edition)

Since $|x|=c$ implies $x=c \text{ or } x=-c,$ then the the given inequality, $|2x+1|=3 ,$ is equivalent to \begin{array}{l}\require{cancel} 2x+1=3 \text{ or } 2x+1=-3 .\end{array} Hence, $\text{ Choice D .}$