Answer
$y\geq2.5$
Work Step by Step
Find the solution by isolating the variable, y, on one side of the inequality.
$y-1\geq1.5\longrightarrow$ add 1 to each side
$y-1+1\geq1.5+1\longrightarrow$ add
$y\geq2.5$
Check the endpoint.
$2.5-1\overset?=1.5$
$1.5=1.5\checkmark$
Check the inequality.
$3-1\overset?\geq1.5$
$2\geq1.5\checkmark$
Since 2.5 is included in the solution set, the endpoint of the graph will be a solid circle.
