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

1 Answer
Sep 10, 2015

#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.