Solve the inequality (9x+5)/12 > (4x+1)/3

(9x+5)/12 > (4x+1)/3**** Multiply up the denominator terms 3(9x+5) > 12(4x+1)* As 3 is a factor of 12, divide both sides by 39x+5 > 4(4x +1)* Multiply out RHS 9x +5 > 16x + 4* Gather like terms on either side of the inequality ****5 - 4 > 16x - 9x **** Simplify both sides **1 > 7x Divide the 1 by the number infront of x (7) ****ANSWER : 1/7 > x