Given the linear inequality $4x+\frac{2}{3}y\ge 6$, determine if the following ordered pair is a solution to the inequality.
$(0,9)$

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

Answer: (A)

Verified step by step guidance

1. Start with the given inequality: \(4x + \frac{2}{3}y \ge 6\).
2. Substitute the values of the ordered pair \((0, 9)\) into the inequality, where \(x = 0\) and \(y = 9\).
3. After substitution, the inequality becomes: \(4(0) + \frac{2}{3}(9) \ge 6\).
4. Simplify the left side: \(0 + \frac{2}{3} \times 9 = 0 + 6 = 6\).
5. Compare the simplified left side to the right side: check if \(6 \ge 6\) is true to determine if the ordered pair is a solution.