Y=-3/2(x+2)(x-4) vertex form?

Write an inequality and solve each problem.for exercises 11 and 12, interpret the solution.

Can someone explain to me how to do

At a local museum, the total price for one adult and one child is $11. mrs. smith paid for herself and her three children. she spent $19. record the system of equations to be solved and then find the price of an adult and child ticket using either elimination or substitution.