Question

The point (0, 0) is a solution to which of these inequalities?


• A. y+ 7<2x+ 6







〇By-7*2x-6







（ C. y-6-2x-1








D. y+ 7<2x-6

Answer 1

Pick one

Answer 2

To determine if the point (0, 0) is a solution to each inequality, we substitute \(x = 0\) and \(y = 0\) into each inequality and check if it holds true.

1. **A. \(y + 7 < 2x + 6\)**
Substitute (0, 0):
\(0 + 7 < 2(0) + 6\)
\(7 < 6\) (This is false)

2. **B. \(y - 7 < 2x - 6\)**
Substitute (0, 0):
\(0 - 7 < 2(0) - 6\)
\(-7 < -6\) (This is true)

3. **C. \(y - 6 < 2x - 1\)**
Substitute (0, 0):
\(0 - 6 < 2(0) - 1\)
\(-6 < -1\) (This is true)

4. **D. \(y + 7 < 2x - 6\)**
Substitute (0, 0):
\(0 + 7 < 2(0) - 6\)
\(7 < -6\) (This is false)

**Conclusion:** The point (0, 0) is a solution to inequalities B and C.

Answer 3

The point (0, 0) is a solution to inequality **B: \(y - 7 < 2x - 6\)**.