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

Question

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:

• \((0, 0)\)
• \((-2, 5)\)