Given data:
The given inequality in the column A is 4x-30≥ -3x+12.
The given inequality in the column B is 1/2 x +3 < -2x-6.
The first inequality can be written as,
[tex]\begin{gathered} 4x-30\text{ }\ge\text{ -3x+12} \\ 7x\ge42 \\ x\ge6 \end{gathered}[/tex]
The second inequality can be written as,
[tex]\begin{gathered} \frac{1}{2}x+3<-2x-6 \\ \frac{1}{2}x+2x<-9 \\ \frac{5}{2}x<-9 \\ x<-3.6 \end{gathered}[/tex]
Thus, the quantity in the column A is always greater, so first option is correct.
