Final answer:
Sheer Fabric Art is the method that involves printing a design into a semi-sheer fabric by dissolving cotton in planned designs.
Step-by-step explanation:
The method that involves printing a design into a semi-sheer fabric by dissolving cotton in planned designs is called Sheer Fabric Art. This technique uses a process called screen-printing, where a woven mesh is used to support an ink-blocking stencil. The stencil forms open areas of mesh that transfer ink onto the fabric, creating a sharp-edged image.