Question 325873
<pre><b>
{{{5x+2}}}{{{"">""}}}{{{22}}}

There are three ways to write the solution set of an inequality.

First we solve the inequality for x 

{{{matrix(6,3,

5x+2, "">"",22,
5x+2red(-2),"">"",22red(-2),
5x,"">"",20,
5x/red(5),"">"",20/red(5), 
cross(5)x/cross(red(5)),"">"",""^4cross(20)/cross(red(5)), 
x, "">"", 4)}}}

That's the solution.  Here are the three ways to indicate
the solution set which is the set of all numbers which
we can substitute for x and the solution inequality will be true.

1. The set-builder notation for the solution set is:

{{{"{"}}}{{{x}}}{{{"|"}}}{{{x}}}{{{"">""}}}{{{"4}"}}}

2. The graphical notation for this solution set is

{{{drawing(600,100,-5,15,-2,2,
locate(3.85,1,green("O========================================>")),

green(line(4.1,.7,15,.7)),
number_line( 600, -5, 15 ) )}}}

3. The interval notation for this solution set is:

{{{"("}}}{{{4}}}{{{","}}}{{{infinity}}}{{{")"}}}

Edwin</pre>