Given the linear inequality , determine if the following ordered pair is a solution to the inequality.
$(0,-2)$

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

Answer: (A)

Verified step by step guidance

1. Identify the inequality given: \$4y < 3x - 2$.
2. Substitute the coordinates of the ordered pair \((0, -2)\) into the inequality, replacing \(x\) with \$0\( and \)y\( with \)-2$.
3. After substitution, the inequality becomes \$4(-2) < 3(0) - 2$.
4. Simplify both sides: calculate \(4 \times (-2)\) and \(3 \times 0 - 2\) to get the numerical inequality.
5. Compare the simplified left side and right side values to check if the inequality holds true; if it does, the ordered pair is a solution, otherwise it is not.