Captain Mark Surgenor had the first opportunity of the afternoon at Newforge Lane, however his header was tipped past the post by ‘keeper Jordan Williamson.
The ‘Gers should have taken the lead soon after as a Reece Neale cross was headed onto the crossbar by centre-half Chris Rodgers.
On the 20th minute, the hosts broke the deadlock. Veteran forward Lucasz Adamczyk burst through on goal after Rangers squandered possession and with Aaron Hogg off his line, Adamczyk lobbed the ‘keeper to find the back of the net.
Niall Currie’s men looked to regroup before the break, with Denver Gage heading wide from Stewart Nixon’s long throw-in on the half hour mark.
Craig McMillen’s corner was then headed wide by Rodgers as the Taylors Avenue outfit went in trailing at the break.
Six minutes into the second half, a powerful strike from Nixon rattled the underside of the crossbar, as referee Ken Gibbons and his assistants deemed that the ball did not cross the line.
The away side looked to their bench to help bring them level as Michael Smith replaced Craig McMillen before Daniel Kelly took the place of Lloyd Anderson.
Adamczyk almost had his second just after the hour mark, however he headed wide from Mark Anderson’s delivery.
With twenty minutes remaining, Carrick made their final change as Caolan Loughran replaced Fra Brennan.
However, on the 77th minute, PSNI went further ahead. Tony Tumelty easily got past two of his markers, with his powerful shot deflecting in off Owen Moody.
Minutes later Tumelty tried his luck again, but his curled effort clipped off the crossbar.
Winger Anderson then found space on the left and sent a lobbed effort just wide of the post.
Rangers’ Surgenor had a chance to narrow the deficit at the end, however he headed wide from close range to round off a frustrating day for the ‘Gers.
Carrick Rangers: Hogg; Rodgers, Gage, Brennan (Loughran, 70); Chapman, Surgenor, McMillen (Smith, 53), Anderson (Kelly, 58), Neale; Murray, Nixon.
Unused substitutes: McDowell, Warwick.