By Christine Murray and Tomas Sarmiento MEXICO CITY (Reuters) – A Mexican court said on Monday it would begin analyzing an injunction request from telecommunications giant America Movil against a regulatory ruling designed to curb its dominance and spur competition. Controlled by tycoon Carlos Slim, America Movil has about 80 percent of Mexicos fixed-line business and some 70 percent of the mobile sector. It was ruled dominant earlier this year by new regulator the Federal Telecommunications Institute (IFT). That ruling allowed the IFT to impose a series of tougher regulations against Slims flagship company.