Question

Graph the solution of this inequality:

4.5x - 100 > 125

Use the number line pictured below.

Answer 1

see attached

Explanation:

You want to graph the solution to the inequality 4.5x -100 > 125 on the number line.

Solution

The inequality is solved the same way you would solve a 2-step equation:

4.5x -100 > 125 . . . . . . given

4.5x > 225 . . . . . . add 100 to both sides to eliminate unwanted constant

x > 50 . . . . . . . divide both sides by 4.5 to eliminate unwanted coefficient

Graph

Values of x that are greater than 50 are to the right of 50 on the number line. An open circle is used at x=50, because x=50 is not part of the solution.