In a factory 70% of the workers like oranges and 64% Iike apples. If x% like both oranges and apples, then the minimum value of x is

Let the total number of worker be 100. A, the Set of workers who like orange and 8, the Set of workers who likes apples. So, n(A)=70,n(B)=64,n(A∩B)=x Also, n(A∪B)≤100⇒ n(A)+n(B)−n(A∩B)≤100⇒70+64−x≤100⇒ x≥134−100⇒ x≥34