19. Solve the equation. vert 7-2xvert =4 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. The solution set is square (Simplify your answer. Use a comma to separate answers as needed. Type an integer or a fraction.) B. The solution is all real numbers. C. The solution is the empty set.

To solve the equation $\vert 7-2x\vert =4$, we need to consider two cases:<br /><br />Case 1: $7-2x = 4$<br />In this case, we can solve for $x$ by isolating it on one side of the equation:<br />$7-2x = 4$<br />$-2x = 4-7$<br />$-2x = -3$<br />$x = \frac{-3}{-2}$<br />$x = \frac{3}{2}$<br /><br />Case 2: $7-2x = -4$<br />In this case, we can solve for $x$ by isolating it on one side of the equation:<br />$7-2x = -4$<br />$-2x = -4-7$<br />$-2x = -11$<br />$x = \frac{-11}{-2}$<br />$x = \frac{11}{2}$<br /><br />Therefore, the solution set is $\left\{\frac{3}{2}, \frac{11}{2}\right\}$.<br /><br />So, the correct choice is A. The solution set is $\left\{\frac{3}{2}, \frac{11}{2}\right\}$.