Question

Which ordered pair is a solution to the system of inequalities
y > 2x and y > 7

(1, 9)
(0, 0)
(4, 8)

Answer 1

To determine which ordered pair is a solution to the system of inequalities \( y > 2x \) and \( y > 7 \), we will check each pair individually.

1. **For the ordered pair (1, 9)**:
- Check \( y > 2x \):
\[
9 > 2(1) \implies 9 > 2 \quad \text{(True)}
\]
- Check \( y > 7 \):
\[
9 > 7 \quad \text{(True)}
\]
- Both inequalities are satisfied.

2. **For the ordered pair (0, 0)**:
- Check \( y > 2x \):
\[
0 > 2(0) \implies 0 > 0 \quad \text{(False)}
\]
- Since this is false, we do not need to check the second inequality.

3. **For the ordered pair (4, 8)**:
- Check \( y > 2x \):
\[
8 > 2(4) \implies 8 > 8 \quad \text{(False)}
\]
- Since this is false, we do not need to check the second inequality.

The only ordered pair that satisfies both inequalities is **(1, 9)**.