Question

Match the inequality to its graph.
Is (0,0) a solution to the inequality?
Inequality:
Answer
Is (0,0) a solution? choose your answ v
Inequality:
Answer
Is (0,0) a solution? choose your answ v
Inequality:
Answer
Is (0, 0) a solution? choose your answ v
Inequality:
Answer ==-
Is (0, 0) a solution? choose your answ v
: y≥x+1
y<X+1
y>x+1
:y≤x+1

Answer 1

To match the inequalities to their graphs, let's break down the given inequalities:

1. **Inequality: \( y \geq x + 1 \)**
- This graph includes the line \( y = x + 1 \) and the area above it (including the line).
- **Is (0,0) a solution?** No, because \( 0 \) is not greater than or equal to \( 0 + 1 \).

2. **Inequality: \( y < x + 1 \)**
- This graph includes the area below the line \( y = x + 1 \) (but not the line itself).
- **Is (0,0) a solution?** Yes, because \( 0 < 0 + 1 \).

3. **Inequality: \( y > x + 1 \)**
- This graph includes the area above the line \( y = x + 1 \) (but not the line itself).
- **Is (0,0) a solution?** No, because \( 0 \) is not greater than \( 0 + 1 \).

4. **Inequality: \( y \leq x + 1 \)**
- This graph includes the line \( y = x + 1 \) and the area below it (including the line).
- **Is (0,0) a solution?** Yes, because \( 0 \leq 0 + 1 \).

**Summary:**

- For \( y \geq x + 1 \): **No, (0,0) is not a solution.**
- For \( y < x + 1 \): **Yes, (0,0) is a solution.**
- For \( y > x + 1 \): **No, (0,0) is not a solution.**
- For \( y \leq x + 1 \): **Yes, (0,0) is a solution.**