Solve the inequality. Graph the solution. (1)/(12)vert 2x-5vert +11leqslant 12 Select the correct choice below and, if necessary.fill in the answer boxes to complete your choice. A. square leqslant xleqslant square B. xleqslant square or xgeqslant square C. The solution is all real numbers. D. There is no solution.

To solve the inequality, we first isolate the absolute value expression: Subtract 11 from both sides: Multiply both sides by 12: This inequality means that the expression inside the absolute value, , is between -12 and 12. We can split this into two separate inequalities: Now, we solve each inequality separately:For the left inequality: Add 5 to both sides: Divide both sides by 2: For the right inequality: Add 5 to both sides: Divide both sides by 2: Combining the solutions, we have: Therefore, the correct choice is A. .