Answer
The solution is $(-2,4)$
Work Step by Step
Given: $3x+2y \geq1$
Substitute $(-2,4)$:
$3(-2)+2(4) \geq1$
$-6+8 \geq 1$
$2 \geq 1 \rightarrow$ True
Substitute $(1,-3)$:
$3.1+2(-3) \geq1$
$3-6 \geq 1$
$-3 \geq 1\rightarrow $ False
Hence, the solution is $(-2,4)$.