Solve for x algebraically: 7x -3(4x-8) < 6x +12 - 9x if x is a number in the interval [4,8], state all interegers that satisfy the given inequality

THE GIVEN QUESTION; 7x -3(4x-8) < 6x +12 - 9x THE GIVEN INTERVAL OF X IS FROM [4,8] SO THE VALUE OF X ={4,5,6,7,8} THE GIVEN QUESTION CAN BE EVALUATED TO 7x - 12x+ 24 < 12 - 3x -5x + 24 < 12 - 3x //USING BODMAS RULE NOW SUBSTITUTING THE VALUE OF X: 1) X=4 SOL: 4<0 2) X=5 SOL: -1<-3 3) X=6 SOL: -6<-6 4) X=7 SOL: -11<-9 5) X=8 SOL: -16<-12 HENCE THE VALUE OF X=7,8 SATISFY THE GIVEN INEQUALITY