Question

How do you solve and graph `10x + 9 > 3x - 1`?

Answer 1

`x > -10/7`
graph{10x+9 > 3x-1 [-7.9, 7.9, -3.95, 3.95]}

Explanation:

`10x+9 > 3x-1`

`rarrcolor(white)("XXX")10x > 3x -10`

`rarrcolor(white)("XXX")7x > -10`

`rarrcolor(white)("XXX")x > - 10/7`

To graph (on the Cartesian plane) draw a dashed vertical line (dashed to indicate that values on the line are not included in the solution set) at `x=-10/7`;
then shade the area to the right (where `x > -10/7`) to indicate inclusion in the solution set.