Question

Choose the two ordered pairs that are solutions for the inequality y>6x−3 .

CHOOSE TWO.

(2 points)
Responses

(0,0)open paren 0 comma 0 close paren

(−2,5)open paren negative 2 comma 5 close paren

(0,−3)

Answer 1

To determine which ordered pairs are solutions to the inequality \( y > 6x - 3 \), we need to check each pair individually.

1. **For the pair \((0, 0)\)**:
\[
y = 0 \quad \text{and} \quad 6x - 3 = 6(0) - 3 = -3
\]
Check \(0 > -3\) which is true. So, \((0, 0)\) is a solution.

2. **For the pair \((-2, 5)\)**:
\[
y = 5 \quad \text{and} \quad 6x - 3 = 6(-2) - 3 = -12 - 3 = -15
\]
Check \(5 > -15\) which is true. So, \((-2, 5)\) is a solution.

3. **For the pair \((0, -3)\)**:
\[
y = -3 \quad \text{and} \quad 6x - 3 = 6(0) - 3 = -3
\]
Check \(-3 > -3\) which is false. So, \((0, -3)\) is not a solution.

The two ordered pairs that are solutions to the inequality \( y > 6x - 3 \) are:
- \((0, 0)\)
- \((-2, 5)\)