-4 < 3x - 1 < 5 Add +1 to all three sides -4 < 3x - 1 < 5 +1 +1 +1 -3 < 3x < 6 -3 < 3x < 6 Divide all three sides by the coefficient of x which is 3: -1 < x < 2 Draw this number line and put an open circle "o" at -1 since the inequality < on that side is not underlined and a closed circle "@" at 2 because the inequality symbol < on that side is underlined: ---------o-----------@-------- -3 -2 -1 0 1 2 3 4 Shade the line between them: ---------o===========@-------- -3 -2 -1 0 1 2 3 4 That's it. An abbreviation for that is called "interval notation". It is (-1, 2] The ( indicates an open circle on the left end of the interval and the ] indicates a closed circle on the right end of the interval. Edwin