Consider the set defined by the following inequalities: (x1 ≥ x2 − 1 and x2 ≥ 0) or (x1 ≤ x2 − 1 and x2 ≤ 0). 1. draw the set. is it convex? 2. show that it can be described as a single quadratic inequality of the form q( x) = x ⊤ ax + 2b ⊤ x + c ≤ 0, for a matrix a = a ⊤ ∈ r2,2, b ∈ r2 and c ∈ r which you will determine. 3. what is the convex hull of this set?