NeuroEducation

With −2 but Without −4

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Subsets

A=\xmid 2x-3 ≤ 15,\ x∈mathbbZ\

B=\xmid 3x-4 5,\ x∈mathbbZ\

How many subsets of Acap B contain -2 but do not contain -4?