The first step in solving this problem is to use the necessary mathematics to isolate the aa term on one side of the inequality and the constants on the other side of the inequality while keeping the inequality balanced:
4a - 2 + color(red)(2) > 14 + color(red)(2)4a−2+2>14+2
4a + (- 2 + color(red)(2)) > 14 + color(red)(2)4a+(−2+2)>14+2
4a + (0) > 14 + color(red)(2)4a+(0)>14+2
4a > 14 + 24a>14+2
Now combine the like terms, in this case the constants:
4a > 164a>16
Finally, solve for aa while keeping the inequality balanced:
(4a)/color(red)(4) > 16/color(red)(4)4a4>164
(color(red)(cancel(color(black)(4)))a)/color(red)(cancel(color(black)(4))) > 4
a > 4
