Answer
$(-\infty,\infty)$.
The graph is shown below.
Work Step by Step
The given compound inequality is
$\Rightarrow 2x+1\lt15$ or $3x-4\geq-1$.
Solve each inequality separately.
$\Rightarrow 2x+1\lt15$ or $3x-4\geq-1$.
$\Rightarrow 2x\lt15-1$ or $3x\geq-1+4$.
$\Rightarrow 2x\lt14$ or $3x\geq3$.
$\Rightarrow x\lt7$ or $x\geq1$.
First graph then take the union of the solution sets of the two inequalities.
The graph is shown in the image file.
We can write the compound inequality.
$x\lt7$ as $(-\infty,7)$ and $x\geq1$ as $[1,\infty)$
The union is
$(-\infty,7)\cup[1,\infty)=(-\infty,\infty)$.
