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Determine if the ordered pair (6, 4) is a solution to the inequality (y < 3/4x - 3).

a) No, because (6, 4) is above the line
b) Yes, because (6, 4) is below the line
c) Yes, because (6, 4) is on the line
d) No, because (6, 4) is on the line

1 Answer

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Final answer:

The ordered pair (6, 4) is not a solution to the inequality y < 3/4x - 3 because the inequality does not hold true when the x and y values from the ordered pair are substituted into the inequality.

Step-by-step explanation:

The question asks whether the ordered pair (6, 4) is a solution to the inequality y < 3/4x - 3. To determine this, we substitute the x and y values from the ordered pair into the inequality and check if the inequality holds true. Plugging in the values, we get 4 < 3/4(6) - 3. Evaluating further, we have 4 < 9/4 - 3. Simplifying, we get 4 < 9/4 - 12/4. Combining the fractions, we have 4 < -3/4, which is false. Therefore, (6, 4) is not a solution to the inequality. The correct answer is a) No, because (6, 4) is above the line.

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