Question

How do you solve and graph `x-8>4`?

Answer 1

See a solution process below:

Explanation:

We need to first solve for `x`. Add `color(red)(8) to each side of the inequality to solve for`x# while keeping the inequality balanced:

`x - 8 + color(red)(8) > 4 + color(red)(8)`

`x - 0 > 12`

`x > 12`

To graph this we will draw a vertical line at `12` on the horizontal axis.

The line will be a dashed line because the inequality operator does not contains an "or equal to" clause. Therefore, the line is not part of the solution set.

We will shade to the right side of the line because the inequality operator contains a "greater than" clause:

graph{x>12 [-20, 20, -10, 10]}