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.
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For the ordered pair \( (2, 10) \): \[ y = 10 \quad \text{and} \quad x = 2 \] Substitute into the inequality: \[ 10 > -7(2) + 2 \implies 10 > -14 + 2 \implies 10 > -12 \quad \text{(True)} \]
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For the ordered pair \( (0, -6) \): \[ y = -6 \quad \text{and} \quad x = 0 \] Substitute into the inequality: \[ -6 > -7(0) + 2 \implies -6 > 0 + 2 \implies -6 > 2 \quad \text{(False)} \]
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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:
- \( (2, 10) \)
- \( (-2, 20) \)