Answer
Yes, $(2,12)$ is a solution.
Work Step by Step
$ y$ ${\gt}$ $2x +4$
$ 12$ ${\gt}$ $2(2) +4$
$ 12$ ${\gt}$ $4 +4$
$ 12$ ${\gt}$ $8$
True
$ y$ ${\lt}$ $3x +7$
$ 12$ ${\lt}$ $3(2) +7$
$ 12$ ${\lt}$ $6 +7$
$ 12$ ${\lt}$ $13$
True
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