Answer:Step-by-step explanation:The options are :A. x + 30 < 3x
B. x - 5 < 2x - 35
C. x divided by 4 < x - 12
D. 2x < x + 22Option (A) :x + 30 < 3x
Put x = 20 on both sidesLHS = 20 + 30 = 50RHS = 3(20) = 6050<60 The option is correct.Option (B) :x - 5 < 2x - 35
Put x = 20 on both sidesLHS = x-5 = 20-5 = 15RHS = 2x - 35 = 2(20) -35 = 515<5The option is incorrect.Option (C) :x/4 < x - 12
Put x = 20 on both sidesLHS = 20/4 = 5RHS = x - 12 = 20-12 = 85<8 (correct)Option (D) :2x < x + 22Put x = 20 on both sidesLHS = 2x = 2(20) = 40RHS = x+22 = 20 + 22 = 4440<44It is true. The option is correct.Hence, option A, B and D are correct.