I am working on a few corrections, if someone could help me, I would be very thankful.

The directions: Solve the inequality. Express the solution using set builder notation, interval notation, and graph the solution.

1. 10 - 2|2x - 1| < or equal to 6

my incorrect answers were:

Inequality Solution(s): -1/2 < or equal to X < or equal to 3/2

Set Builder Notation: {x| -1/2 < or equal to X < or equal to 3/2}

Interval Notation: [-1/2, 3/2]

and since these were wrong, so was my graph.

This is correct. How do you know it is wrong? Do you have the answer?
2. -1 < or equal to 5 - 2x < or equal to 10

my incorrect answers were:

Inequality Solution(s): -5/2 > or equal to x > or equal to 3

* You forgot to reverse your inequality signs when you divided by -2
Set Builder Notation: {x| -5/2 > or equal to x > or equal to 3}

Interval Notation: [-5/3, 3]

and since these were wrong, so was my graph.

3. x (x - 1) (x - 2) > 0

Have you learned how to use a number line and test numbers to find where these are greater than and less that zero? Look at this link if you need help with that: Solving Inequalities: An Overview
my incorrect answers were:

Inequality Solution(s): 0 < x > 2

Set Builder Notation: {x| x<0 and x>2}

Interval Notation: (0, 2)

and since these were wrong, so was my graph.

The instructor wrote something about using a table/diagram to solve?

I am kind of lost on this concept...