We are given the inequality

$$y > 8x - 3$$

Meaning of Each Variable and Expression

• $x$ is the independent variable (input value).
• $y$ is the dependent variable (output value).
• $8x$ means 8 multiplied by x.
• $8x - 3$ is a linear expression.
• The symbol $>$ means strictly greater than (not equal to).

So for any value of $x$:

1. First compute $$8x - 3$$
2. Then check whether $$y > 8x - 3$$

If $y$ is even equal to $8x - 3$, it is NOT a solution because the inequality is strict.

Checking Table D

When $x = -2$

Compute the right-hand side:

$$8(-2) - 3 = -16 - 3 = -19$$

We compare:

$$y = -10$$

Check the inequality:

$$-10 > -19$$

This is true

When $x = 0$

Compute:

$$8(0) - 3 = -3$$

Given:

$$y = 0$$

Check:

$$0 > -3$$

True

When $x = 1$

Compute:

$$8(1) - 3 = 5$$

Given:

$$y = 10$$

Check:

$$10 > 5$$

True

Final Conclusion

For every ordered pair $(x, y)$ in Table D, the inequality

$$y > 8x - 3$$

is satisfied.

Therefore, Table D is the correct answer.