Question

Choose the two ordered pairs that are solutions for the inequality y>−7x+2 .

CHOOSE TWO.

(2 points)
Responses

(2,10)open paren 2 comma 10 close paren

(0,−6)open paren 0 comma negative 6 close paren

(−2,20)

Answer 1

To determine which ordered pairs are solutions to the inequality \( y > -7x + 2 \), we can substitute the x and y values from each pair into the inequality and check if it holds true.

1. For the ordered pair \( (2, 10) \):
\[
y = 10 \quad \text{and} \quad x = 2
\]
Substitute into the inequality:
\[
10 > -7(2) + 2 \implies 10 > -14 + 2 \implies 10 > -12 \quad \text{(True)}
\]

2. For the ordered pair \( (0, -6) \):
\[
y = -6 \quad \text{and} \quad x = 0
\]
Substitute into the inequality:
\[
-6 > -7(0) + 2 \implies -6 > 0 + 2 \implies -6 > 2 \quad \text{(False)}
\]

3. For the ordered pair \( (-2, 20) \):
\[
y = 20 \quad \text{and} \quad x = -2
\]
Substitute into the inequality:
\[
20 > -7(-2) + 2 \implies 20 > 14 + 2 \implies 20 > 16 \quad \text{(True)}
\]

The two ordered pairs that are solutions to the inequality \( y > -7x + 2 \) are:

- \( (2, 10) \)
- \( (-2, 20) \)