Here is the inequality:

You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:

Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:

You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:

When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.
Your answer is x > -7
GRAPH:
A linear pattern is when the points form a straight line. For example the following points follow a linear pattern: (0, 0), (1, 2), (2,4), (3,6). These points are all increasing by the same amount. X is increasing by 1 while Y increases by 2.
A non-linear pattern can pretty much be anything that doesn't follow an exact rule. Like: (0,1) (4,3), (6, 12), (7,9). These points would not form a straight line, it would just be a bunch of random points everywhere.
I hope that helps!
It seems that you have missed the most important detail for us to answer this question which is the table where we can base the values. I would be very much interested to help of you are going to attach it here. Let me know if you need more help next time. Have a great day!
For 5/8 it is .... 9/16
for 1/2 it is..... 2/3