Question

How do you solve `1- a > - 2- ( - 7)`?

Answer 1

See the entire solution process below:

Explanation:

First, consolidate the constants on the right side of the inequality:

`1 - a > -2 - (-7)`

`1 - a > -2 + 7`

`1 - a > 5`

Next, subtract `color(red)(1)` from each side of the inequality to isolate the `a` term while keeping the inequality balanced:

`-color(red)(1) + 1 - a > -color(red)(1) + 5`

`0 - a > 4`

`-a > 4`

Now, multiply each side of the inequality by `color(blue)(-1)` to solve for `a` while keeping the inequality balanced. However, because we are multiplying or dividing an inequality by a negative term we must reverse the inequality operator:

`color(blue)(-1) * -a color(red)(<) color(blue)(-1) * 4`

`a color(red)(<) -4`