I know she graphed it correctly but i don't know the steps she took to graph it

She graphed it correctly.

The inequality is the same as after dividing both sides by 3 to isolate y.

From here you graph which is a straight line through (0,0) and (3,2). This line is made solid because of the "or equal to" as part of the inequality sign above.

We shade below the solid boundary due to the "less than" portion of the inequality sign.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

1. minimum

2. 6400

3. eight

hope this !