Which of the following is a solution to the inequality below? \[ 9 \leq 11-\frac{g}{7} \] \( g=21 \) \( g=49 \) \( g=14 \)

To solve the inequality \( 9 \leq 11-\frac{g}{7} \), we can start by isolating \( g \). Subtracting 11 from both sides gives us \( -2 \leq -\frac{g}{7} \). Multiplying by -1 (which flips the inequality sign) results in \( 2 \geq \frac{g}{7} \). Then, multiplying both sides by 7 leads us to \( 14 \geq g \) or \( g \leq 14 \). Now, if we check the provided values: - For \( g = 21 \): Not a solution (21 > 14) - For \( g = 49 \): Not a solution (49 > 14) - For \( g = 14 \): This is a solution (14 = 14) Therefore, the solution to the inequality is \( g = 14 \). Now, keep that calculator handy! It's easy to make simple calculation mistakes if you're not careful. Double-check your operations at each step, especially when multiplying, as flipping signs can often lead to errors in inequalities. Another common mistake is misinterpreting the direction of the inequality when multiplying or dividing by negative numbers—remember, doing that flips it! If you're interested in mastering inequalities further, consider practicing some online math platforms or apps. They often have interactive problems and instant feedback, making learning engaging and fun. Additionally, you could check out "The Art of Problem Solving" series for a deeper dive into mathematical reasoning through challenging and creative problems!