interval notation

(x/2)-(x/3)>5 The LCD of 2 and 3 is 6,

(3x/6) - (2x/6) > 5

x/6 > 5, or

x > 30

$(\frac{x}{2})-(\frac{x}{3})>5$

$\frac{x}{2}-\frac{x}{3}>5$

$\frac{x}{2}\times6-\frac{x}{3}\times6>5\times6$

$\frac{6x}{2}-\frac{6x}{3}>30$

$\frac{3x}{1}-\frac{2x}{1}>30$

$3x-2x>30$

$x>30$