Answer:
To graph the solution to the inequality -1/2x+3/4>-2/3 on the number line, we need to solve for x first.
-1/2x+3/4>-2/3
-1/2x>-2/3-3/4
-1/2x>-17/12
x<17/12*2
x<17/6
The solution is x<17/6. To graph this on the number line, we draw an open circle at 17/6 and shade everything to the left of it since x is less than 17/6.