Concept:Solve the linear inequality by collecting variables on one side and reversing the inequality sign when dividing by a negative number.Solution:Start with 2x−4<6+3x.Subtract 3x from both sides: 2x−3x−4<6.So, −x−4<6.Add 4 to both sides: −x<10.Divide both sides by −1 and reverse the inequality sign: x>−10.Thus, the truth set is {x:x>−10}.Answer:Option C ({x:x>−10})