Question

How do you solve and graph `1/2x<=6`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the inequality by `color(red)(2)` to solve for `x` while keeping the inequality balanced:

`color(red)(2) xx 1/2x <= color(red)(2) xx 6`

`color(red)(2)/2x <= 12`

`1x <= 12`

`x <= 12`

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

The line will be a solid line because the inequality operator contains an "or equal to" clause.

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

graph{x<=12 [-20, 20, -10, 10]}