Answer:FalseStep-by-step explanation:The given inequality is [tex]y\:<\:|x-2|+7[/tex]We substitute [tex]x=3,y=8[/tex]This implies that;[tex]8\:<\:|3-2|+7[/tex][tex]8\:<\:|1|+7[/tex][tex]8\:<\:1+7[/tex][tex]8\:<\:8[/tex]This is false.8 is not less or greater than itself.