Question

Compare the quantities in Column A and Column B Column A Column B The solutions of 4x - 30 2-3x + 12 The solutions (A) The quantity in Column A is greater. (B) The quantity is Column B is greater. (C) The quantities are equal. (D) The relationship cannot be determined from the inform

Answer 1

Column A:

`4x-30\ge-3x+12`

The solution will be as following :

`\begin{gathered} 4x+3x\ge12+30 \\ 7x\ge42 \\ (7x)/(7)\ge(42)/(7) \\ \\ x\ge6 \end{gathered}`

Column B:

`(1)/(2)x+3<-2x-6`

The solution will be as following :

`\begin{gathered} (1)/(2)x+2x<-6-3 \\ 2(1)/(2)x<-9 \\ (5)/(2)x<-9 \\ \\ x<-9\cdot(2)/(5) \\ \\ x<-3.6 \end{gathered}`

Compare the quantities in Column A and Column B

so,

`x\ge6\text{ and x < -3.6}`

So, the answer is option A) The quantity in Column A is greater.