Let's break down and solve each inequality from your uploaded image.

a) $3x - y < 8x + 2$

To solve for $y$, we can isolate it:

1. Move $y$ to one side: $3x - 8x < y + 2$ This simplifies to: $-5x < y + 2$

2. Subtract 2 from both sides: $-5x - 2 < y$

Thus, the inequality becomes: $y > -5x - 2$

Now, we can graph this inequality. The line $y = -5x - 2$ is a straight line, and the region above this line (because the inequality is $y > -5x - 2$) will be the solution.

b) $2g + 2m \geq 7g - 10$

To solve for $m$, follow these steps:

1. Move all terms involving $g$ to one side: $2m \geq 7g - 10 - 2g$ Simplify: $2m \geq 5g - 10$

2. Now, divide both sides by 2 to isolate $m$: $m \geq \frac{5g - 10}{2}$ Simplify further: $m \geq \frac{5}{2}g - 5$

This inequality represents the region above and including the line $m = \frac{5}{2}g - 5$.

Graphing:

For both inequalities, we graph the respective lines (in the case of a linear inequality) and shade the appropriate region.

Let me know if you'd like help with visualizing the graphs! Would you like me to create the graphs for you?