Los lados de un triángulo miden 3;x+9,2x-6. Calcula el mayor valor entero que pueda tomar x para que el triángulo exista

Someone this asap for a group of students attends a basketball game. * the group buys x hot dogs at the concession stand for $2 each. * the group buys y drinks at the concession stand for $3 each. the group buys 29 items at the concession stand for a total of $70. how many hot dogs did the group buy?