Question

Which ordered pair belongs to the solution set of 5x−3y≥15
?(1 point)
Responses

(0,−3)
left parenthesis 0 comma negative 3 right parenthesis

(0,−5)
left parenthesis 0 comma negative 5 right parenthesis

(−3,0)
left parenthesis negative 3 comma 0 right parenthesis

(−5,0)

Answer 1

To determine which ordered pair belongs to the solution set of the inequality \( 5x - 3y \geq 15 \), we can substitute each of the provided pairs into the inequality and check if it holds true.

1. For \( (0, -3) \):
\[
5(0) - 3(-3) \geq 15 \implies 0 + 9 \geq 15 \implies 9 \geq 15 \quad (\text{False})
\]

2. For \( (0, -5) \):
\[
5(0) - 3(-5) \geq 15 \implies 0 + 15 \geq 15 \implies 15 \geq 15 \quad (\text{True})
\]

3. For \( (-3, 0) \):
\[
5(-3) - 3(0) \geq 15 \implies -15 \geq 15 \quad (\text{False})
\]

4. For \( (-5, 0) \):
\[
5(-5) - 3(0) \geq 15 \implies -25 \geq 15 \quad (\text{False})
\]

The only ordered pair that belongs to the solution set of the inequality \( 5x - 3y \geq 15 \) is \( (0, -5) \).