Question

How do you solve `4a-2>14`?

Answer 1

`a > 4`

Explanation:

The first step in solving this problem is to use the necessary mathematics to isolate the `a` 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 + color(red)(2)) > 14 + color(red)(2)`

`4a + (0) > 14 + color(red)(2)`

`4a > 14 + 2`

Now combine the like terms, in this case the constants:

`4a > 16`

Finally, solve for `a` while keeping the inequality balanced:

`(4a)/color(red)(4) > 16/color(red)(4)`

`(color(red)(cancel(color(black)(4)))a)/color(red)(cancel(color(black)(4))) > 4`

`a > 4`