Question

How do you graph the inequality `20x-5>35` on the coordinate plane?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`20x-5>35`

Add `5` to both sides.

`20x>40`

Divide both sides by `20`.

`x>2`

The standard form for a linear equation is `Ax+By=C`. The equal sign can be replaced by an inequality symbol. For `x>2`, the standard equation `x+0y>2`. Notice that the coefficient for `y=0`. So, whatever the value for `y` is, it will always be `0`.

Examples

If `y=1`

then `x+(0xx1)>2` is equal to `x>2`.

If `y=10`

then `x+(0xx10)>2` is equal to `x>2`.

The graph will be a dashed straight vertical line where the value for `x` is `2`, and the values for `y` are infinite. The dashed line indicates that the line is not part of the graph. Shade in the area to the right side because `x>2`.

graph{x>2 [-9.905, 10.095, -5.18, 4.82]}