Question

How do you graph 10x>=10/3# on the coordinate plane?

Answer 1

See a solution process below:

Explanation:

First, we can solve for `x` by multiplying each side of the inequality by `color(red)(1/10)` which will also keep the inequality balanced:

`color(red)(1/10) xx 10x >= color(red)(1/10) xx 10/3`

`10/10x >= color(red)(1/color(black)(cancel(color(red)(10)))) xx color(red)(cancel(color(black)(10)))/3`

`1x >= 1/3`

`x >= 1/3`

To graph this inequality we draw a vertical line at the `1/3` point on the `x`-axis.

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

We wil shade to the right of the line because the inequality operator has a "greater than" clause:

graph{x>=1/3 [-8, 8, -4, 4]}