Answer
$(-\infty,-3/2)$ U $[1,\infty)$
Work Step by Step
Simplify the expression on one side
$(2x+3)(x-1)\geq0$
Identify key numbers by equating to zero
$(2x+3)=0$
$(x-1)=0$
$x=3/2$
$x=1$
Assign a test for each interval (to determine the sign)
$(-\infty,-3/2)$ U $[1,\infty)$
