You need to pay attention to the direction of the inequality. You either add or takeaway from both sides.
< = Less than
> = Greater than
The less than or equal to sign is like the less than sign but it has a line underneath. The greater than or equal to sign is like the greater than sign but it has a line underneath.

EG1) x - 2 > 5
           +2     +2
         x > 7 or bigger

EG2)  2x + 5 > 7
              -5       -5
           2x > 2
           x   > 1

EG3)    5b + 4 > 74 - 2b
               +2b         +2b
                7b + 4 > 74
                 -4           -4
                7b  > 70
                   b > 10
On a number line:
            .
1 2 3 4 5 6 7 8 9 10

A circle not coloured in would be above the number 10 and there would be an arrow from the circle pointing right.

Questions :
1. 7 - 2x > 5x - 7
2. 9 - x < 2x + 6