The Tigers led the entire game, doubling up the Yellow Jackets 12-6 in the first quarter before both squads scored 17 points each in the second period to make it 29-23, Tigers at the half.
Marshall County scored one more point than Fairview in the third quarter and held off the home team by winning the fourth quarter 14-11 to take the ten-point win.
Kevin Peterson led the way in the scoring column with 17 points (1 trey), Cameron Bowers also finished in double figures with 13 points, Aaron Hobbs and Chris Walker netted seven points apiece, Corbin Clack drilled two treys for six points, and Barry Mayes rounded out the scoring for the Tigers with four points.
Joshua Lampley was the only Yellow Jacket in double figures with 12 points.
The Tigers (15-7, 11-3) sit in third place in the district standings with two league contests remaining, beginning Friday night at Dottie Kelso Memorial Gymnasium versus Class-AA number five ranked Spring Hill (20-1, 14-0).
The regular season finale will take place in Centerville on Tuesday for the Tigers, who sit two games back of the Raiders and one game shy of second place Giles County.
Giles County (17-5, 11-2) has defeated the Tigers twice in the regular season and has three league games remaining versus Page, at Fairview, and the Bobcats finish the schedule on Thursday at Hickman County.
Lewis County is way back in fourth place with a 6-8 district record.
For the Tigerettes, the fall has been a hard and fast one, dropping all the way back to fifth place, jeopardizing a first-round home game in the District 12-AA Tournament.
MCHS (9-16, 8-6) jumped on the Lady Jackets early Tuesday night, leading 26-22 at halftime and 36-33 at the end of the third quarter.
Fairview (16-2, 11-1) took control of the game and first place in the league standings when they doubled up the Tigerettes 20-10 in the fourth quarter scoring column to take the seven-point victory.
Destiny Moore Poured in 21 points at Fairview to lead the Tigerettes, while Jameka Braden scored eight, Morgan Moyers and Marissa Lyttle scored seven points apiece, and Mecia Reed had three.