Rangers are on course to further strengthen their advantage at the top of the Scottish League One table, leading Stranraer 1-0 at the break.
Lee Wallace fired the visitors into a fourth-minute lead, running into the box before shooting across David Mitchell and into the back of the net.
Moments after the restart, Cammy Bell was forced into a fine save to deny the Blues drawing level almost instantly at Stair Park.
Scott Robertson forced Bell into another save shortly after, turning inside the box before unleashing a shot on goal which the keeper managed to turn behind to ensure his side held the lead going into half time.