This question has two parts. First, answer Part A. Then, answer Part B. Part A Solve the compound inequality -11-2qgeqslant -21or4q+1gt 29 A) qvert qleqslant 7orqgt 9 B) qvert qleqslant 5orqgt 7 C) qvert qlt 5orqgeqslant 7 D) qvert 5leqslant qlt 9

To solve the compound inequality , we need to solve each inequality separately and then combine the solutions.For the first inequality, , we can add 11 to both sides to isolate the variable term: Next, we divide both sides by -2 to solve for q: For the second inequality, , we can subtract 1 from both sides to isolate the variable term: Then, we divide both sides by 4 to solve for q: Combining the solutions, we have: Therefore, the correct answer is B) .Part BSolve the compound inequality .To solve the compound inequality , we need to solve each inequality separately and then combine the solutions.For the first inequality, , we can add 11 to both sides to isolate the variable term: Next, we divide both sides by -2 to solve for q: For the second inequality, , we can subtract 1 from both sides to isolate the variable term: Then, we divide both sides by 4 to solve for q: Combining the solutions, we have: Therefore, the correct answer is B) .