For the questions below carefully explain your answer. they might require some inequalities and several logical steps tojustify fully. 1. Suppose a connected planar graph P has every vertex of degree at least 3 and every face of size at least 3. Can P have fewer than six edges? 2. Suppose a connected planar graph P has every vertex of degree at least 3 and every face of size at least 3. Can P have exactly seven edges? 3. Suppose a connected planar graph P has every vertex of degree at least 3 and every face of size at least 3. Can P have exactly six edges