Given the linear inequality , determine if the following ordered pair is a solution to the inequality.
$(3,\frac{3}{4})$

• A. Yes
• B. No
• C. Cannot be determined

Answer: (A)

Verified step by step guidance

1. Start with the given inequality: \$4y < 3x - 2$.
2. Substitute the coordinates of the ordered pair \((3, \frac{3}{4})\) into the inequality, replacing \(x\) with 3 and \(y\) with \(\frac{3}{4}\).
3. Calculate the left side by multiplying 4 and \(\frac{3}{4}\): \(4 \times \frac{3}{4}\).
4. Calculate the right side by multiplying 3 and 3, then subtracting 2: \(3 \times 3 - 2\).
5. Compare the two results to see if the inequality \$4y < 3x - 2$ holds true with the substituted values. If it does, the ordered pair is a solution; if not, it is not.