
John R. answered 12/21/12
John R: Math, Science, and History Teacher
Assuming 1/4x means (1/4)x, not 1/(4x)
2 > 1/4x + 3/5 Given
2 - 3/5 > 1/4x Subtract 3/5 from each side
10/5 - 3/5 > 1/4x Find the common denominator
7/5 > 1/4x Simplify (10/5 - 3/5 = 7/5)
4*7/5 > x Multiply both sides by 4
28/5 > x Simplify (4*7/5 = 28/5)
In order to graph the inequality, draw an open circle at 28/5 (between 5 and 6, closer to 6). and draw the arrow going to the left.