Question

Find The Supremum, Infimum, Maximum And Minimum (If They Exist) For The Following Sets A) S={Nm∈Q:0≤mb.(b) S={x∈R:x² +x<3}

Answer 1

For set A, the supremum is b and the infimum is 0. For set B, the supremum is 1.5 and the infimum is -3.

Step-by-step explanation:

In set A, S = {Nm ∈ Q: 0 ≤ m ≤ b}, the supremum (or least upper bound) is b, the infimum (or greatest lower bound) is 0, but there is no maximum or minimum.

In set B, S = {x ∈ R: x² + x < 3}, the supremum is 1.5, the infimum is -3, the maximum is not defined, and the minimum is also not defined.