Solve this : 20. Solve the inequality 2 - 3 x 4 < 5 . Share with your friends Share 0 Shruti Tyagi answered this Dear student, We have,2-3x4<5which means-5<2-3x4<5 I II III solving by taking I and II termwe get, -5<2-3x4⇒-5×4<2-3x4×4 ..[by multiplying by 4 on both sides]⇒-20<2-3x⇒-20+20<2-3x+20 ..[by adding 20 to both sides]⇒0<-3x+22⇒-22<-3x+22-22 ..[by subtracting 22 from both sides]⇒-22<-3x⇒22>3x ..[by multiplying by -1 on both sides]⇒223>3x3 ..[dividing by 3 on both sides]⇒x<22Now solving by taking II and III term2-3x4<5⇒2-3x4×4<5×4 ..[by multiplying by 4 on both sides]⇒2-3x<20⇒2-3x-20<20-20 ..[by subtracting 20 from both sides]⇒-3x-18<0⇒-3x-18+18<0+18 ...[adding 18 to both sides]⇒-3x<18⇒-3x3<183 ....[dividing by 3 on both sides]⇒-x<6⇒x>-6 ...[multiplying by -1 on both sides]Thus we get-6<x<22 Regards 0 View Full Answer Shaffali Grover answered this Removing mod -53x>-18 Divide by 3 22/3>x>6 Thus range of x is (6,22/7) 1
