1. **State the problem:** We need to find the y-coordinates of all points that satisfy the system of inequalities:
$$y > 2x - 1$$
$$2x > 5$$
2. **Rewrite the second inequality:**
$$2x > 5 \implies x > \frac{5}{2}$$
This means the solution region is to the right of the vertical line $x = \frac{5}{2}$.
3. **Analyze the first inequality:**
$$y > 2x - 1$$
This means $y$ is above the line $y = 2x - 1$.
4. **Find the minimum y-value in the solution region:**
Since $x > \frac{5}{2}$, the smallest $x$ in the solution region is just greater than $\frac{5}{2}$.
Calculate $y$ at $x = \frac{5}{2}$:
$$y > 2 \times \frac{5}{2} - 1 = 5 - 1 = 4$$
5. **Interpretation:**
For all $x > \frac{5}{2}$, $y$ must be greater than $2x - 1$, which is always greater than 4 because $2x - 1$ increases as $x$ increases.
Therefore, the y-coordinates satisfying both inequalities must be greater than 4.
**Final answer:**
$$y > 4$$
This corresponds to option B.
Inequality Y Coordinates
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