Let U={x: x is an integer and 2≤x≤10}. In each of the following cases, find A,B and determine whether A⊆B,B⊆A, both or neither:

Question

A={x: 2x+1>7},B={x: x^2>20}.
A={x:x^2-3x+2=0},B={x:x+7 is a perfect square}.

Answer 1

using integers from 2 to 10,
A = {4, 5, 6, 7, 8, 9, 10}
B = {5, 6, 7, 8, 9, 10}
clearly B is a subset of A, that is, B⊆A

repeat for the 2nd question